qu.env.lastSaved= Aug 10, 2005 9:27:45 PM @ qu.env.validTest= false @ qu.1.topic=8_1 MC Supplementary/Complementary@ qu.1.1.mode=Non Permuting Multiple Choice@ qu.1.1.name=Supplementary@ qu.1.1.comment=

Determine if 1 and 2 are supplementary, complementary, or neither given:

1 = ${$a}° and 2 = ${$s}°

1 + 2 = ${$a}° + ${$s}° = ${$a+$s}°
Since the angles add to 180°, they are supplementary angles.

@ qu.1.1.editing=useHTML@ qu.1.1.algorithm=$a=range(50,70,1); $s=180-$a; $c=90-$a; $n=180-$a-2;@ qu.1.1.question=

Determine if 1 and 2 are supplementary, complementary, or neither given:

1 = ${$a}° and 2 = ${$s}°

@ qu.1.1.answer=2@ qu.1.1.choice.1=Complementary@ qu.1.1.choice.2=Supplementary@ qu.1.1.choice.3=Neither@ qu.1.2.mode=Non Permuting Multiple Choice@ qu.1.2.name=Complementary@ qu.1.2.comment=

Determine if 1 and 2 are supplementary, complementary, or neither given:

1 = ${$a}° and 2 = ${$c}°

1 + 2 = ${$a}° + ${$c}° = ${$a+$c}°
Since the angles add to 90°, they are complementary angles.

@ qu.1.2.editing=useHTML@ qu.1.2.algorithm=$a=range(50,70,1); $s=180-$a; $c=90-$a; $n=180-$a-2;@ qu.1.2.question=

Determine if 1 and 2 are supplementary, complementary, or neither given:

1 = ${$a}° and 2 = ${$c}°

@ qu.1.2.answer=1@ qu.1.2.choice.1=Complementary@ qu.1.2.choice.2=Supplementary@ qu.1.2.choice.3=Neither@ qu.1.3.mode=Non Permuting Multiple Choice@ qu.1.3.name=Neither@ qu.1.3.comment=

Determine if 1 and 2 are supplementary, complementary, or neither given:

1 = ${$a}° and 2 = ${$n}°

1 + 2 = ${$a}° + ${$n}° = ${$a+$n}°
Since the angles add to 90° or 180°, they are neither complementary nor supplementary angles.

@ qu.1.3.editing=useHTML@ qu.1.3.algorithm=$a=range(50,70,1); $s=180-$a; $c=90-$a; $n=180-$a-2;@ qu.1.3.question=

Determine if 1 and 2 are supplementary, complementary, or neither given:

1 = ${$a}° and 2 = ${$n}°

@ qu.1.3.answer=3@ qu.1.3.choice.1=Complementary@ qu.1.3.choice.2=Supplementary@ qu.1.3.choice.3=Neither@ qu.2.topic=8_1 Find Supplement/Complement@ qu.2.1.question=1 and 2 are supplementary. Determine the 2 if 1 = ${$a}°.
Do not enter a degree symbol in the answer box.@ qu.2.1.answer.num=$s@ qu.2.1.answer.units=@ qu.2.1.showUnits=false@ qu.2.1.grading=exact_value@ qu.2.1.negStyle=both@ qu.2.1.numStyle=thousands scientific dollars @ qu.2.1.mode=Numeric@ qu.2.1.name=Supplement@ qu.2.1.comment=

1 and 2 are supplementary. Determine the 2 if 1 = ${$a}°.

Supplementary angles add to 180°.
${$a}°
+ 2 =180°
2 = ${$s}°

@ qu.2.1.editing=useHTML@ qu.2.1.algorithm=$a=range(50,70,1); $s=180-$a; $c=90-$a;@ qu.2.2.question=1 and 2 are complementary. Determine the 2 if 1 = ${$a}°.
Do not enter a degree symbol in the answer box.@ qu.2.2.answer.num=$c@ qu.2.2.answer.units=@ qu.2.2.showUnits=false@ qu.2.2.grading=exact_value@ qu.2.2.negStyle=both@ qu.2.2.numStyle=thousands scientific dollars @ qu.2.2.mode=Numeric@ qu.2.2.name=Complement@ qu.2.2.comment=

1 and 2 are complementary. Determine the 2 if 1 = ${$a}°.

Complementary angles add to 90°.
${$a}°
+ 2 = 90°
2 = ${$c}°

@ qu.2.2.editing=useHTML@ qu.2.2.algorithm=$a=range(50,70,1); $s=180-$a; $c=90-$a;@ qu.3.topic=8_1 Find Angle Measures A@ qu.3.1.mode=Inline@ qu.3.1.name=Angles@ qu.3.1.comment=

Given 1 = $a1 °, find:

1 and 2 are supplementary.
1 + 2 = 180°
${$a1}° + 2 = 180°
2 = ${$a2}°

1 and 3 are vertical angles.
3 = 1 = ${$a1}°

2 and 4 are vertical angles.
4 = 2 = ${$a2}°

@ qu.3.1.editing=useHTML@ qu.3.1.algorithm=$a1=range(30,50,1); $a2=180-$a1; $a4=$a2; $a3=$a1;@ qu.3.1.weighting=1,1,1@ qu.3.1.numbering=alpha@ qu.3.1.part.1.name=$a2@ qu.3.1.part.1.answer.units=@ qu.3.1.part.1.numStyle=thousands scientific arithmetic@ qu.3.1.part.1.editing=useHTML@ qu.3.1.part.1.showUnits=false@ qu.3.1.part.1.question=(Unset)@ qu.3.1.part.1.mode=Numeric@ qu.3.1.part.1.grading=exact_value@ qu.3.1.part.1.negStyle=minus@ qu.3.1.part.1.answer.num=$a2@ qu.3.1.part.2.name=$a3@ qu.3.1.part.2.answer.units=@ qu.3.1.part.2.numStyle=thousands scientific arithmetic@ qu.3.1.part.2.editing=useHTML@ qu.3.1.part.2.showUnits=false@ qu.3.1.part.2.question=(Unset)@ qu.3.1.part.2.mode=Numeric@ qu.3.1.part.2.grading=exact_value@ qu.3.1.part.2.negStyle=minus@ qu.3.1.part.2.answer.num=$a3@ qu.3.1.part.3.name=$a4@ qu.3.1.part.3.answer.units=@ qu.3.1.part.3.numStyle=thousands scientific arithmetic@ qu.3.1.part.3.editing=useHTML@ qu.3.1.part.3.showUnits=false@ qu.3.1.part.3.question=(Unset)@ qu.3.1.part.3.mode=Numeric@ qu.3.1.part.3.grading=exact_value@ qu.3.1.part.3.negStyle=minus@ qu.3.1.part.3.answer.num=$a4@ qu.3.1.question=

Given 1 = $a1 °, find:

2 = <1>
3 = <2>
4 = <3>
Do not enter the degree symbol into the answer box.

@ qu.3.2.mode=Inline@ qu.3.2.name=Angles2@ qu.3.2.comment=

Given 1 = a1 °, find:

1 and 2 are supplementary.
1 + 2 = 180°
${$a1}° + 2 = 180°
2 = ${$a2}°

1 and 3 are vertical angles.
3 = 1 = ${$a1}°

2 and 4 are vertical angles.
4 = 2 = ${$a2}°

@ qu.3.2.editing=useHTML@ qu.3.2.algorithm=$a1=range(120,150,1); $a2=180-$a1; $a4=$a2; $a3=$a1;@ qu.3.2.weighting=1,1,1@ qu.3.2.numbering=alpha@ qu.3.2.part.1.name=$a2@ qu.3.2.part.1.answer.units=@ qu.3.2.part.1.numStyle=thousands scientific arithmetic@ qu.3.2.part.1.editing=useHTML@ qu.3.2.part.1.showUnits=false@ qu.3.2.part.1.question=(Unset)@ qu.3.2.part.1.mode=Numeric@ qu.3.2.part.1.grading=exact_value@ qu.3.2.part.1.negStyle=minus@ qu.3.2.part.1.answer.num=$a2@ qu.3.2.part.2.name=$a3@ qu.3.2.part.2.answer.units=@ qu.3.2.part.2.numStyle=thousands scientific arithmetic@ qu.3.2.part.2.editing=useHTML@ qu.3.2.part.2.showUnits=false@ qu.3.2.part.2.question=(Unset)@ qu.3.2.part.2.mode=Numeric@ qu.3.2.part.2.grading=exact_value@ qu.3.2.part.2.negStyle=minus@ qu.3.2.part.2.answer.num=$a3@ qu.3.2.part.3.name=$a4@ qu.3.2.part.3.answer.units=@ qu.3.2.part.3.numStyle=thousands scientific arithmetic@ qu.3.2.part.3.editing=useHTML@ qu.3.2.part.3.showUnits=false@ qu.3.2.part.3.question=(Unset)@ qu.3.2.part.3.mode=Numeric@ qu.3.2.part.3.grading=exact_value@ qu.3.2.part.3.negStyle=minus@ qu.3.2.part.3.answer.num=$a4@ qu.3.2.question=

Given 1 = $a1 °, find:

2 = <1>
3 = <2>
4 = <3>
Do not enter the degree symbol into the answer box.

@ qu.4.topic=8_1 Find Angle Measures B@ qu.4.1.mode=Inline@ qu.4.1.name=Comp Given 3@ qu.4.1.comment=

Given 3 = $a3°,

Since 2 is a right angle, the lines forming this angle are perpendicular and all angles between these two lines are 90°.

The 1 = 90°.

3 and 4 are complementary angles adding to 90°.
3 + 4 = 180°
${$a3}° + 4 = 180°
4 = ${$a4}°

@ qu.4.1.editing=useHTML@ qu.4.1.algorithm=$a3=range(15,45,1); $a4=90-$a3; $a1=90; $a2=90; $a5=90;@ qu.4.1.weighting=1,1@ qu.4.1.numbering=alpha@ qu.4.1.part.1.name=$a1@ qu.4.1.part.1.answer.units=@ qu.4.1.part.1.numStyle=thousands scientific arithmetic@ qu.4.1.part.1.editing=useHTML@ qu.4.1.part.1.showUnits=false@ qu.4.1.part.1.question=(Unset)@ qu.4.1.part.1.mode=Numeric@ qu.4.1.part.1.grading=exact_value@ qu.4.1.part.1.negStyle=minus@ qu.4.1.part.1.answer.num=$a1@ qu.4.1.part.2.name=$a4@ qu.4.1.part.2.answer.units=@ qu.4.1.part.2.numStyle=thousands scientific arithmetic@ qu.4.1.part.2.editing=useHTML@ qu.4.1.part.2.showUnits=false@ qu.4.1.part.2.question=(Unset)@ qu.4.1.part.2.mode=Numeric@ qu.4.1.part.2.grading=exact_value@ qu.4.1.part.2.negStyle=minus@ qu.4.1.part.2.answer.num=$a4@ qu.4.1.question=

Given 3 = $a3°, find:

1 = <1>
4 = <2>
Do not enter the degree symbol into the answer box.

@ qu.4.2.mode=Inline@ qu.4.2.name=Comp Given 4@ qu.4.2.comment=

Given 4 = $a4°,

Since 2 is a right angle, the lines forming this angle are perpendicular and all angles between these two lines are 90°.

The 5 = 90°.

3 and 4 are complementary angles adding to 90°.
3 + 4 = 90°
3 + ${$a4}° = 90°
3 = ${$a3}°

@ qu.4.2.editing=useHTML@ qu.4.2.algorithm=$a3=range(15,45,1); $a4=90-$a3; $a1=90; $a2=90; $a5=90;@ qu.4.2.weighting=1,1@ qu.4.2.numbering=alpha@ qu.4.2.part.1.name=$a3@ qu.4.2.part.1.answer.units=@ qu.4.2.part.1.numStyle=thousands scientific arithmetic@ qu.4.2.part.1.editing=useHTML@ qu.4.2.part.1.showUnits=false@ qu.4.2.part.1.question=(Unset)@ qu.4.2.part.1.mode=Numeric@ qu.4.2.part.1.grading=exact_value@ qu.4.2.part.1.negStyle=minus@ qu.4.2.part.1.answer.num=$a3@ qu.4.2.part.2.name=$a5@ qu.4.2.part.2.answer.units=@ qu.4.2.part.2.numStyle=thousands scientific arithmetic@ qu.4.2.part.2.editing=useHTML@ qu.4.2.part.2.showUnits=false@ qu.4.2.part.2.question=(Unset)@ qu.4.2.part.2.mode=Numeric@ qu.4.2.part.2.grading=exact_value@ qu.4.2.part.2.negStyle=minus@ qu.4.2.part.2.answer.num=$a5@ qu.4.2.question=

Given 4 = $a4°, find:

3 = <1>
5 = <2>
Do not enter the degree symbol into the answer box.

@ qu.5.topic=8_1 Find Angle Measures C@ qu.5.1.mode=Inline@ qu.5.1.name=Given 1@ qu.5.1.comment=

Given 1 = $a1°,

1 and 3 are corresponding angles with equal measures.
3 = 1 = ${$a1}°

3 and 4 are supplementary angles adding to 180°.
3 + 4 = 180°
${$a3}° + 4 = 180°
4 = ${$a4}°

3 and 5 are vertical angles with equal measures.
5 = 3 = ${$a5}°

4 and 6 are vertical angles with equal measures.
6= 4 = ${$a6}°

@ qu.5.1.editing=useHTML@ qu.5.1.algorithm=$a1=range(30,60,1); $a2=180-$a1; $a3=$a1; $a4=$a2; $a5=$a1; $a6=$a2; $a7=$a1; $a8=$a2;@ qu.5.1.weighting=1,1,1,1@ qu.5.1.numbering=alpha@ qu.5.1.part.1.name=$a3@ qu.5.1.part.1.answer.units=@ qu.5.1.part.1.numStyle=thousands scientific arithmetic@ qu.5.1.part.1.editing=useHTML@ qu.5.1.part.1.showUnits=false@ qu.5.1.part.1.question=(Unset)@ qu.5.1.part.1.mode=Numeric@ qu.5.1.part.1.grading=exact_value@ qu.5.1.part.1.negStyle=minus@ qu.5.1.part.1.answer.num=$a3@ qu.5.1.part.2.name=$a4@ qu.5.1.part.2.answer.units=@ qu.5.1.part.2.numStyle=thousands scientific arithmetic@ qu.5.1.part.2.editing=useHTML@ qu.5.1.part.2.showUnits=false@ qu.5.1.part.2.question=(Unset)@ qu.5.1.part.2.mode=Numeric@ qu.5.1.part.2.grading=exact_value@ qu.5.1.part.2.negStyle=minus@ qu.5.1.part.2.answer.num=$a4@ qu.5.1.part.3.name=$a5@ qu.5.1.part.3.answer.units=@ qu.5.1.part.3.numStyle=thousands scientific arithmetic@ qu.5.1.part.3.editing=useHTML@ qu.5.1.part.3.showUnits=false@ qu.5.1.part.3.question=(Unset)@ qu.5.1.part.3.mode=Numeric@ qu.5.1.part.3.grading=exact_value@ qu.5.1.part.3.negStyle=minus@ qu.5.1.part.3.answer.num=$a5@ qu.5.1.part.4.name=$a6@ qu.5.1.part.4.answer.units=@ qu.5.1.part.4.numStyle=thousands scientific arithmetic@ qu.5.1.part.4.editing=useHTML@ qu.5.1.part.4.showUnits=false@ qu.5.1.part.4.question=(Unset)@ qu.5.1.part.4.mode=Numeric@ qu.5.1.part.4.grading=exact_value@ qu.5.1.part.4.negStyle=minus@ qu.5.1.part.4.answer.num=$a6@ qu.5.1.question=

Given 1 = $a1 °, find:

3 = <1>
4 = <2>
5 = <3>
6 = <4>
Do not enter the degree symbol into the answer box.

@ qu.5.2.mode=Inline@ qu.5.2.name=Given 3@ qu.5.2.comment=

Given 3 = $a3°,

1 and 3 are corresponding angles with equal measures.
1 = 3 = ${$a1}°

1 and 2 are supplementary angles adding to 180°.
1 + 2 = 180°
${$a1}° + 2 = 180°
2 = ${$a2}°

3 and 5 are vertical angles with equal measures.
5 = 3 = ${$a5}°

2 and 6 are alternate interior angles.
6 = 2 = ${$a6}°

@ qu.5.2.editing=useHTML@ qu.5.2.algorithm=$a3=range(30,60,1); $a4=180-$a3; $a1=$a3; $a2=$a4; $a5=$a1; $a6=$a2; $a7=$a1; $a8=$a2;@ qu.5.2.weighting=1,1,1,1@ qu.5.2.numbering=alpha@ qu.5.2.part.1.name=$a1@ qu.5.2.part.1.answer.units=@ qu.5.2.part.1.numStyle=thousands scientific arithmetic@ qu.5.2.part.1.editing=useHTML@ qu.5.2.part.1.showUnits=false@ qu.5.2.part.1.question=(Unset)@ qu.5.2.part.1.mode=Numeric@ qu.5.2.part.1.grading=exact_value@ qu.5.2.part.1.negStyle=minus@ qu.5.2.part.1.answer.num=$a1@ qu.5.2.part.2.name=$a2@ qu.5.2.part.2.answer.units=@ qu.5.2.part.2.numStyle=thousands scientific arithmetic@ qu.5.2.part.2.editing=useHTML@ qu.5.2.part.2.showUnits=false@ qu.5.2.part.2.question=(Unset)@ qu.5.2.part.2.mode=Numeric@ qu.5.2.part.2.grading=exact_value@ qu.5.2.part.2.negStyle=minus@ qu.5.2.part.2.answer.num=$a2@ qu.5.2.part.3.name=$a5@ qu.5.2.part.3.answer.units=@ qu.5.2.part.3.numStyle=thousands scientific arithmetic@ qu.5.2.part.3.editing=useHTML@ qu.5.2.part.3.showUnits=false@ qu.5.2.part.3.question=(Unset)@ qu.5.2.part.3.mode=Numeric@ qu.5.2.part.3.grading=exact_value@ qu.5.2.part.3.negStyle=minus@ qu.5.2.part.3.answer.num=$a5@ qu.5.2.part.4.name=$a6@ qu.5.2.part.4.answer.units=@ qu.5.2.part.4.numStyle=thousands scientific arithmetic@ qu.5.2.part.4.editing=useHTML@ qu.5.2.part.4.showUnits=false@ qu.5.2.part.4.question=(Unset)@ qu.5.2.part.4.mode=Numeric@ qu.5.2.part.4.grading=exact_value@ qu.5.2.part.4.negStyle=minus@ qu.5.2.part.4.answer.num=$a6@ qu.5.2.question=

Given 3 = $a3°, find:

1 = <1>
2 = <2>
5 = <3>
6 = <4>
Do not enter the degree symbol into the answer box.

@ qu.5.3.mode=Inline@ qu.5.3.name=Given 6@ qu.5.3.comment=

Given 6 = ${$a6}°,

6 and 4 are vertical angles with equal measures.
6 = 4 = ${$a6}°

6 and 3 are supplementary angles adding to 180°.
6 + 3 = 180°
${$a6}° + 3 = 180°
3 = ${$a3}°

6 and 2 are alternate interior angles with equal measures.
2 = 6 = ${$a6}°

3 and 1 are corresponding angles with equal measures.
1 = 3 = ${$a1}°

@ qu.5.3.editing=useHTML@ qu.5.3.algorithm=$a6=range(110,160,1); $a3=180-$a6; $a1=$a3; $a2=$a6; $a4=$a6; $a5=$a3; $a7=$a1; $a8=$a2;@ qu.5.3.weighting=1,1,1,1@ qu.5.3.numbering=alpha@ qu.5.3.part.1.name=$a1@ qu.5.3.part.1.answer.units=@ qu.5.3.part.1.numStyle=thousands scientific arithmetic@ qu.5.3.part.1.editing=useHTML@ qu.5.3.part.1.showUnits=false@ qu.5.3.part.1.question=(Unset)@ qu.5.3.part.1.mode=Numeric@ qu.5.3.part.1.grading=exact_value@ qu.5.3.part.1.negStyle=minus@ qu.5.3.part.1.answer.num=$a1@ qu.5.3.part.2.name=$a2@ qu.5.3.part.2.answer.units=@ qu.5.3.part.2.numStyle=thousands scientific arithmetic@ qu.5.3.part.2.editing=useHTML@ qu.5.3.part.2.showUnits=false@ qu.5.3.part.2.question=(Unset)@ qu.5.3.part.2.mode=Numeric@ qu.5.3.part.2.grading=exact_value@ qu.5.3.part.2.negStyle=minus@ qu.5.3.part.2.answer.num=$a2@ qu.5.3.part.3.name=$a3@ qu.5.3.part.3.answer.units=@ qu.5.3.part.3.numStyle=thousands scientific arithmetic@ qu.5.3.part.3.editing=useHTML@ qu.5.3.part.3.showUnits=false@ qu.5.3.part.3.question=(Unset)@ qu.5.3.part.3.mode=Numeric@ qu.5.3.part.3.grading=exact_value@ qu.5.3.part.3.negStyle=minus@ qu.5.3.part.3.answer.num=$a3@ qu.5.3.part.4.name=$a4@ qu.5.3.part.4.answer.units=@ qu.5.3.part.4.numStyle=thousands scientific arithmetic@ qu.5.3.part.4.editing=useHTML@ qu.5.3.part.4.showUnits=false@ qu.5.3.part.4.question=(Unset)@ qu.5.3.part.4.mode=Numeric@ qu.5.3.part.4.grading=exact_value@ qu.5.3.part.4.negStyle=minus@ qu.5.3.part.4.answer.num=$a4@ qu.5.3.question=

Given 6 = $a6°, find:

1 = <1>
2 = <2>
3 = <3>
4 = <4>
Do not enter the degree symbol into the answer box.

@ qu.6.topic=8_2 Classify Triangles@ qu.6.1.mode=Matching@ qu.6.1.name=Angles@ qu.6.1.comment=

Classify the triangles. Match each triangle to its classification.

right - contains one right angle

obtuse - contains one angle greater than 90°

acute - all angles are less than 90°

@ qu.6.1.editing=useHTML@ qu.6.1.format.columns=1@ qu.6.1.question=Classify the triangles. Match each triangle to its classification.@ qu.6.1.term.1=@ qu.6.1.term.1.def.1=right@ qu.6.1.term.2=@ qu.6.1.term.2.def.1=obtuse@ qu.6.1.term.3=@ qu.6.1.term.3.def.1=acute@ qu.6.2.mode=Matching@ qu.6.2.name=Sides@ qu.6.2.comment=

equilateral - all three sides are the same length

scalene - no sides have equal length

isosceles - 2 sides have equal length

@ qu.6.2.editing=useHTML@ qu.6.2.format.columns=1@ qu.6.2.question=

Classify the triangles. Match each triangle to its classification.

@ qu.6.2.term.1=@ qu.6.2.term.1.def.1=equilateral@ qu.6.2.term.2=@ qu.6.2.term.2.def.1=scalene@ qu.6.2.term.3=@ qu.6.2.term.3.def.1=isosceles@ qu.7.topic=8_2 Solve for an Angle A@ qu.7.1.question=
${$x}°
${$a1}°

Solve for $x in the triangle above.
Do not enter the ° symbol in the answer box.

@ qu.7.1.answer.num=$ans@ qu.7.1.answer.units=@ qu.7.1.showUnits=false@ qu.7.1.grading=exact_value@ qu.7.1.negStyle=minus@ qu.7.1.numStyle=thousands scientific dollars arithmetic@ qu.7.1.mode=Numeric@ qu.7.1.name=Right 1@ qu.7.1.comment=
${$x}°
${$a1}°

Solve for $x in the triangle above.
Do not enter the ° symbol in the answer box.

The interior angles of a triangle sum to 180°.
$x° + ${$a1}° + 90° = 180°
$x° + ${$a1}° = 90° (The acute angles of a right triangle sum to 90°.)
$x° = ${$ans}°

@ qu.7.1.editing=useHTML@ qu.7.1.algorithm=$a1=range(10,40,1); $a2=90; $ans=180-$a1-$a2; $x=switch(rint(3),"x","y","z");@ qu.7.2.question=
$x
${$a1}°
${$a2}°

Solve for $x in the triangle above.
Do not enter the ° symbol in the answer box.

@ qu.7.2.answer.num=$ans@ qu.7.2.answer.units=@ qu.7.2.showUnits=false@ qu.7.2.grading=exact_value@ qu.7.2.negStyle=minus@ qu.7.2.numStyle=thousands scientific dollars arithmetic@ qu.7.2.mode=Numeric@ qu.7.2.name=Isosceles@ qu.7.2.comment=
$x
${$a1}°
${$a2}°

Solve for $x in the triangle above.
Do not enter the ° symbol in the answer box.

The interior angles of a triangle sum to 180°.
$x° + ${$a1}° + ${$a2}° = 180°
$x° + ${$a1+$a2}° = 180°
$x° = ${$ans}°

@ qu.7.2.editing=useHTML@ qu.7.2.algorithm=$a1=range(30,60,1); $a2=$a1; $ans=180-$a1-$a2; $x=switch(rint(3),"x","y","z");@ qu.7.3.question=
$x°
${$a2}°
${$a1}°

Solve for $x in the triangle above.
Do not enter the ° symbol in the answer box.

@ qu.7.3.answer.num=$ans@ qu.7.3.answer.units=@ qu.7.3.showUnits=false@ qu.7.3.grading=exact_value@ qu.7.3.negStyle=minus@ qu.7.3.numStyle=thousands scientific dollars arithmetic@ qu.7.3.mode=Numeric@ qu.7.3.name=Scalene@ qu.7.3.comment=
$x°
${$a2}°
${$a1}°

Solve for $x in the triangle above.
Do not enter the ° symbol in the answer box.

The interior angles of a triangle sum to 180°.
$x° + ${$a1}° + ${$a2}° = 180°
$x° + ${$a1+$a2}° = 180°
$x° = ${$ans}°

@ qu.7.3.editing=useHTML@ qu.7.3.algorithm=$a1=range(30,60,1); $a2=range(90,120,1); $ans=180-$a1-$a2; condition:gt($ans,10); condition:ne($an,$a1); $x=switch(rint(3),"x","y","z");@ qu.8.topic=8_2 Solve for an Angle B@ qu.8.1.question=
(${$a}$x + $b)°
${$x}°

Solve for $x in the triangle above.
Do not enter the ° symbol in the answer box.

@ qu.8.1.answer.num=$ans@ qu.8.1.answer.units=@ qu.8.1.showUnits=false@ qu.8.1.grading=exact_value@ qu.8.1.negStyle=minus@ qu.8.1.numStyle=thousands scientific dollars arithmetic@ qu.8.1.mode=Numeric@ qu.8.1.name=Right@ qu.8.1.comment=
(${$a}$x + $b)°
${$x}°

Solve for $x in the triangle above.
Do not enter the ° symbol in the answer box.

The interior angles of a triangle sum to 180°.
$x° + (${$a}$x + $b)° + 90° = 180°
$x° + (${$a}$x + $b)° = 90° (The acute angles sum to 90°.)
(${$a+1}$x + $b)° = 90°
${$a+1}$x° = ${90-$b}°
$x° = $ans°

@ qu.8.1.editing=useHTML@ qu.8.1.algorithm=$ans=range(15,29,1); $a=int(89/$ans)-1; $b=90-($a+1)*$ans; condition:gt($b,0); condition:gt($a,1); $x=switch(rint(3),"x","y","z");@ qu.8.2.question=
$x°
(${$a}$x + $b)°
${$a1}°

Solve for $x in the triangle above.
Do not enter the ° symbol in the answer box.

@ qu.8.2.answer.num=$ans@ qu.8.2.answer.units=@ qu.8.2.showUnits=false@ qu.8.2.grading=exact_value@ qu.8.2.negStyle=minus@ qu.8.2.numStyle=thousands scientific dollars arithmetic@ qu.8.2.mode=Numeric@ qu.8.2.name=Scalene@ qu.8.2.comment=
$x°
(${$a}$x + $b)°
${$a1}°

Solve for $x in the triangle above.
Do not enter the ° symbol in the answer box.

The interior angles of a triangle sum to 180°.
$x° + (${$a}$x + $b)° + ${$a1}° = 180°
(${$a+1}$x + ${$a1+$b})° = 180°
${$a+1}$x° = ${180-($a1+$b)}°
$x° = ${$ans}°

@ qu.8.2.editing=useHTML@ qu.8.2.algorithm=$ans=range(15,29,1); $a1=range(15,29,1); condition:ne($ans,$a1); $a=int((180-$a1-$ans)/$ans); $b=180-($a+1)*$ans-$a1; condition:gt($b,0); condition:gt($a,1); $x=switch(rint(3),"x","y","z");@ qu.9.topic=8_2 Solve for an Angle C@ qu.9.1.question=
(${$a}$x + $b)°
${$x}°

Solve for the largest non-right angle in the triangle above.
Do not enter the ° symbol in the answer box.

@ qu.9.1.answer.num=$ans2@ qu.9.1.answer.units=@ qu.9.1.showUnits=false@ qu.9.1.grading=exact_value@ qu.9.1.negStyle=minus@ qu.9.1.numStyle=thousands scientific dollars arithmetic@ qu.9.1.mode=Numeric@ qu.9.1.name=Right@ qu.9.1.comment=
(${$a}$x + $b)°
${$x}°

Solve for the largest non-right angle in the triangle above.
Do not enter the ° symbol in the answer box.

The interior angles of a triangle sum to 180°.
$x° + (${$a}$x + $b)° + 90° = 180°
$x° + (${$a}$x + $b)° = 90° (The acute angles sum to 90°.)
(${$a+1}$x + $b)° = 90°
${$a+1}$x° = ${90-$b}°
$x° = $ans°
The other angle is (${$a}$x + $b)° = (${$a*$ans} + $b)° = ${$a*$ans+$b}°
The largest non-right angle is $ans2°

@ qu.9.1.editing=useHTML@ qu.9.1.algorithm=$ans=range(15,29,1); $a=int(89/$ans)-1; $b=90-($a+1)*$ans; condition:gt($b,0); condition:gt($a,1); $x=switch(rint(3),"x","y","z"); $ans2=max($ans,90-$ans);@ qu.9.2.question=
$x°
(${$a}$x + $b)°
${$a1}°

Solve for the largest angle in the triangle above.
Do not enter the ° symbol in the answer box.

@ qu.9.2.answer.num=$ans2@ qu.9.2.answer.units=@ qu.9.2.showUnits=false@ qu.9.2.grading=exact_value@ qu.9.2.negStyle=minus@ qu.9.2.numStyle=thousands scientific dollars arithmetic@ qu.9.2.mode=Numeric@ qu.9.2.name=Scalene@ qu.9.2.comment=
$x°
(${$a}$x + $b)°
${$a1}°

Solve for the largest angle in the triangle above.
Do not enter the ° symbol in the answer box.

The interior angles of a triangle sum to 180°.
$x° + (${$a}$x + $b)° + ${$a1}° = 180°
(${$a+1}$x + ${$a1+$b})° = 180°
${$a+1}$x° = ${180-($a1+$b)}°
$x° = ${$ans}°
The other angle is (${$a}$x + $b)° = (${$a*$ans} + $b)° = ${$a*$ans+$b}°
The largest angle of the three angles is $ans2°

@ qu.9.2.editing=useHTML@ qu.9.2.algorithm=$ans=range(15,29,1); $a1=range(15,29,1); condition:ne($ans,$a1); $a=int((180-$a1-$ans)/$ans); $b=180-($a+1)*$ans-$a1; condition:gt($b,0); condition:gt($a,1); $x=switch(rint(3),"x","y","z"); $ans2=$a*$ans+$b;@ qu.10.topic=8_3 Classify Quadrilaterals@ qu.10.1.mode=Matching@ qu.10.1.name=Matching@ qu.10.1.comment=

Classify each quadrilateral. Match each quadrilateral with the appropriate type.

Parallelogram - Both pairs of opposite sides are parallel.

Rectangle - Four right angles

Rhombus - Four sides of equal length.

Square - Four sides of equal length and four right angles.

Trapezoid - Exactly one pair of parallel lines.

@ qu.10.1.editing=useHTML@ qu.10.1.format.columns=2@ qu.10.1.question=Classify each quadrilateral. Match each quadrilateral with the appropriate type. @ qu.10.1.term.1=@ qu.10.1.term.1.def.1=Parallelogram@ qu.10.1.term.2=@ qu.10.1.term.2.def.1=Rectangle@ qu.10.1.term.3=@ qu.10.1.term.3.def.1=Rhombus@ qu.10.1.term.4=@ qu.10.1.term.4.def.1=Square@ qu.10.1.term.5=@ qu.10.1.term.5.def.1=Trapezoid@ qu.11.topic=8_3 Solve Quadrilateral Angle A@ qu.11.1.question=
${$a1}°
${$a2}°
${$x}°
${$a3}°

Find the angle ${$x}°.
Do not enter the ° symbol into the answer box.

@ qu.11.1.answer.num=$ans@ qu.11.1.answer.units=@ qu.11.1.showUnits=false@ qu.11.1.grading=exact_value@ qu.11.1.negStyle=minus@ qu.11.1.numStyle=thousands scientific dollars arithmetic@ qu.11.1.mode=Numeric@ qu.11.1.name=Quad Angle@ qu.11.1.comment=
${$a1}°
${$a2}°
${$x}°
${$a3}°

Find the angle ${$x}°.
Do not enter the ° symbol into the answer box.

The sum of the interior angles of a quadrilateral is 360°.
${$a1}° + ${$a2}° + ${$a3}° + ${$x}° = 360°
${$a1+$a2+$a3}° + ${$x}° = 360°
${$x}° = ${$ans}°

@ qu.11.1.editing=useHTML@ qu.11.1.algorithm=$a1=range(80,110,1); $a2=range(70,90,2); $a3=range(95,120,2); $ans=360-$a1-$a2-$a3; condition:gt($ans,0); condition:lt($ans,90); $i=rint(4); $x=switch($i,"a","b","c","d");@ qu.11.2.question=
${$a1}°
${$a2}°
${$a3}°
${$x}°

Find the angle ${$x}°.
Do not enter the ° symbol into the answer box.

@ qu.11.2.answer.num=$ans@ qu.11.2.answer.units=@ qu.11.2.showUnits=false@ qu.11.2.grading=exact_value@ qu.11.2.negStyle=minus@ qu.11.2.numStyle=thousands scientific dollars arithmetic@ qu.11.2.mode=Numeric@ qu.11.2.name=Quad Angle2@ qu.11.2.comment=
${$a1}°
${$a2}°
${$a3}°
${$x}°

Find the angle ${$x}°.
Do not enter the ° symbol into the answer box.

The sum of the interior angles of a quadrilateral is 360°.
${$a1}° + ${$a2}° + ${$a3}° + ${$x}° = 360°
${$a1+$a2+$a3}° + ${$x}° = 360°
${$x}° = ${$ans}°

@ qu.11.2.editing=useHTML@ qu.11.2.algorithm=$a1=range(80,110,1); $a2=range(70,90,2); $ans=range(95,120,2); $a3=360-$a1-$a2-$ans; condition:gt($a3,0); condition:lt($a3,90); $i=rint(4); $x=switch($i,"a","b","c","d");@ qu.12.topic=8_3 Solve Quadrilateral Angle B@ qu.12.1.mode=Inline@ qu.12.1.name=Solve Supp Angle@ qu.12.1.comment=
${$a1}°
${$a2}°
${$x}°
${$a3}°
${$x2}°

Find the measures of angles ${$x}° and ${$x2}°
Do not enter the ° symbol into the answer box.

The sum of the interior angles of a quadrilateral is 360°.
${$a1}° + ${$a2}° + ${$a3}° + ${$x}° = 360°
${$a1+$a2+$a3}° + ${$x}° = 360°
${$x}° = ${$ans}°
$x and $x2 are supplementary angles.
${$x}° + ${$x2}° = 180°
${$ans}° + ${$x2}° = 180°
${$x2}° = ${$ans2}°

@ qu.12.1.editing=useHTML@ qu.12.1.algorithm=$a1=range(85,120,1); $a2=range(70,90,2); $a3=range(95,120,2); $ans=360-$a1-$a2-$a3; $ans2=180-$ans; $i=rint(3); $x=switch($i,"a","b","c","d"); $x2=switch($i+1,"a","b","c","d");@ qu.12.1.weighting=1,1@ qu.12.1.numbering=alpha@ qu.12.1.part.1.name=$ans@ qu.12.1.part.1.answer.units=@ qu.12.1.part.1.numStyle=thousands scientific arithmetic@ qu.12.1.part.1.editing=useHTML@ qu.12.1.part.1.showUnits=false@ qu.12.1.part.1.question=(Unset)@ qu.12.1.part.1.mode=Numeric@ qu.12.1.part.1.grading=exact_value@ qu.12.1.part.1.negStyle=minus@ qu.12.1.part.1.answer.num=$ans@ qu.12.1.part.2.name=$ans2@ qu.12.1.part.2.answer.units=@ qu.12.1.part.2.numStyle=thousands scientific arithmetic@ qu.12.1.part.2.editing=useHTML@ qu.12.1.part.2.showUnits=false@ qu.12.1.part.2.question=(Unset)@ qu.12.1.part.2.mode=Numeric@ qu.12.1.part.2.grading=exact_value@ qu.12.1.part.2.negStyle=minus@ qu.12.1.part.2.answer.num=$ans2@ qu.12.1.question=
$a1 °
$a2 °
$x °
$a3 °
$x2 °

Find the measures of angles $x° and $x2°
Do not enter the ° symbol into the answer box.

$x  = <1>
$x2 = <2>

@ qu.12.2.mode=Inline@ qu.12.2.name=Triangle and Quad@ qu.12.2.comment=
f ° g °
$a2°
$a1°
$a3°
$a4°

Find the measure of angles f° and g°.
Do not enter the ° into the answer box.

Two of the three angles in the triangle are known. Solve for the third angle.
$a1° + $a2° + f° = 180°
${$a1+$a2}° + f°
= 180°
f° = $f°

$a2° has a vertical angle in the quadrilateral. This angle must be the same measure.
Three of the four angles of the quadrilateral are now know.
$a2° + $a3° + $a4° + g° = 180°
${$a2 + $a3 + $a4}° + g° = 180°
g° = $g°

@ qu.12.2.editing=useHTML@ qu.12.2.algorithm=$a1=range(40,70,1); $a2=range(40,70,1); $f=180-$a1-$a2; $a3=range(100,160,1); $a4=range(45,70,1); $g=360-$a2-$a3-$a4;@ qu.12.2.weighting=1,1@ qu.12.2.numbering=alpha@ qu.12.2.part.1.name=$f@ qu.12.2.part.1.answer.units=@ qu.12.2.part.1.numStyle=thousands scientific arithmetic@ qu.12.2.part.1.editing=useHTML@ qu.12.2.part.1.showUnits=false@ qu.12.2.part.1.question=(Unset)@ qu.12.2.part.1.mode=Numeric@ qu.12.2.part.1.grading=exact_value@ qu.12.2.part.1.negStyle=minus@ qu.12.2.part.1.answer.num=$f@ qu.12.2.part.2.name=$g@ qu.12.2.part.2.answer.units=@ qu.12.2.part.2.numStyle=thousands scientific arithmetic@ qu.12.2.part.2.editing=useHTML@ qu.12.2.part.2.showUnits=false@ qu.12.2.part.2.question=(Unset)@ qu.12.2.part.2.mode=Numeric@ qu.12.2.part.2.grading=exact_value@ qu.12.2.part.2.negStyle=minus@ qu.12.2.part.2.answer.num=$g@ qu.12.2.question=
f ° g °
$a2 °
$a1 °
$a3 °
$a4 °

Find the measure of angles f ° and g °.
Do not enter the ° into the answer box.

f° = <1>
g° = <2>

@ qu.12.3.mode=Inline@ qu.12.3.name=Multiple angles in Quad@ qu.12.3.comment=
${$a1}°
A
(${$a}$x - $b)°
${$a4}°
B
(${$c}$x - $d)°

Find the value of $x and the measures of angles labeled A and B.
Do not enter the ° symbol into the answer box.

The sum of the interior angles of a quadrilateral is 360°.
${$a4}° + ${$a1}° + (${$a}$x - $b)° + (${$c}$x - $d)° = 360°
${$a+$c}$x° + ${$a4+$a1-$b-$d}° = 360°
${$a+$c}$x° = ${360-($a4+$a1-$b-$d)}°
${$x} = ${$ansx}

Angle A = (${$a}$x - $b)° = (${$a} • $ansx - $b)° = ${$ansa}°
Angle B = (${$c}$x - $d)° = (${$c} • $ansx - $d)° = ${$ansb}°

@ qu.12.3.algorithm=$a1=range(85,110,1); $a2=range(70,90,2); $a3=range(95,120,2); $a4=360-$a1-$a2-$a3; $i=rint(4); $x=switch($i,"w","x","y","z"); $a=range(2,5,1); $ansx=int($a2/$a)+1; $b=$a*$ansx-$a2; $c=int($a3/$ansx)+1; $d=$c*$ansx-$a3; $ansa=$a*$ansx-$b; $ansb=$c*$ansx-$d;@ qu.12.3.weighting=1,1,1@ qu.12.3.numbering=alpha@ qu.12.3.part.1.name=$ansx@ qu.12.3.part.1.answer.units=@ qu.12.3.part.1.numStyle=thousands scientific arithmetic@ qu.12.3.part.1.editing=useHTML@ qu.12.3.part.1.showUnits=false@ qu.12.3.part.1.question=(Unset)@ qu.12.3.part.1.mode=Numeric@ qu.12.3.part.1.grading=exact_value@ qu.12.3.part.1.negStyle=minus@ qu.12.3.part.1.answer.num=$ansx@ qu.12.3.part.2.name=$ansa@ qu.12.3.part.2.answer.units=@ qu.12.3.part.2.numStyle=thousands scientific arithmetic@ qu.12.3.part.2.editing=useHTML@ qu.12.3.part.2.showUnits=false@ qu.12.3.part.2.question=(Unset)@ qu.12.3.part.2.mode=Numeric@ qu.12.3.part.2.grading=exact_value@ qu.12.3.part.2.negStyle=minus@ qu.12.3.part.2.answer.num=$ansa@ qu.12.3.part.3.name=$ansb@ qu.12.3.part.3.answer.units=@ qu.12.3.part.3.numStyle=thousands scientific arithmetic@ qu.12.3.part.3.editing=useHTML@ qu.12.3.part.3.showUnits=false@ qu.12.3.part.3.question=(Unset)@ qu.12.3.part.3.mode=Numeric@ qu.12.3.part.3.grading=exact_value@ qu.12.3.part.3.negStyle=minus@ qu.12.3.part.3.answer.num=$ansb@ qu.12.3.question=
$a1 °
A
($a $x  - $b )°
$a4  °
B
($c $x  - $d )°

Find the value of $x  and the measures of angles labeled A and B.
Do not enter the ° symbol into the answer box.

$x   = <1>
A = <2>
B = <3>

@