Free Printable Angle Relationships to Find Angle Measures

1.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

2.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

3.

Angles that share a common side and vertex are called...

a)

Vertical Angles

b)

Supplementary Angles

c)

Adjacent Angles

d)

Complementary Angles

4.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

5.

Two angles whose measures have a sum of 180^o

a)

Adjacent

b)

Supplementary

c)

Complementary

d)

Vertical

6.

In the figure which angle is complementary to $\angle1$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle6$

7.

If $\angle RZS$ measures $35\degree$ , what is the measure of $\angle SZT$ ?

a)

$55\degree$

b)

$145\degree$

c)

$80\degree$

d)

$65\degree$

8.

a)

155, 25

b)

31, 62

c)

93, 87

d)

93, 62

9.

Solve for x.

a)

20

b)

60

c)

90

d)

180

10.

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

11.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

12.

$\angle JHG$ measures $161\degree$

a)

m∠GHK= $80.5\degree$ ,
m∠KHJ= $161\degree$

b)

m∠GHK= $161\degree$ ,
m∠KHJ= $80.5\degree$

c)

m∠GHK= $80.5\degree$ ,
m∠KHJ= $80.5\degree$

d)

m∠GHK= $161\degree$ ,
m∠KHJ= $161\degree$

13.

a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

14.

a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

15.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

16.

∠K and ∠L are complementary angles.

If m∠K = (3x + 3)° and m∠L = (10x - 4)°, find the measure of each angle.

a)

m∠K = 24° and m∠L = 66°

b)

m∠K = 66° and m∠L = 24°

c)

m∠K = 40° and m∠L = 50°

d)

m∠K = 30° and m∠L = 60°

17.

In the picture, notice that $\overline{JL}$
and $\overline{MN}$ are $\perp$ .
Classify ∠NKO and ∠OKL.
(Check all answers that apply.)

a)

Adjacent

b)

Vertical

c)

Complementary

d)

Supplementary

e)

Linear Pair

18.

$\overline{JL}$ In the picture, notice that
and $\overline{MN}$ are $\perp$ .
If m∠JKP = 72°, find m∠PKL.

a)

m∠PKL = 108°

b)

m∠PKL = 72°

c)

m∠PKL = 113°

d)

m∠PKL = 18°

19.

$\overline{JL}$ In the picture, notice that
and $\overline{MN}$ are $\perp$ .
If m∠JKP = 72°, find m∠NKO.

a)

m∠NKO = 90°

b)

m∠NKO = 72°

c)

m∠NKO = 18°

d)

m∠NKO = 36°

20.

If m∠F is nine less than twice the measure of ∠G, and ∠F & ∠G are supplementary angles,

find each angle measure.

a)

m∠G = 105° and m∠F = 57°

b)

m∠G = 117° and m∠F = 63°

c)

m∠G = 57° and m∠F = 105°

d)

m∠G = 63° and m∠F = 117°

21.

Which angle type is pictured?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

22.

Classify the angle

a)

right

b)

acute

c)

obtuse

d)

straight

23.

Classify the angle

a)

acute

b)

obtuse

c)

right

d)

straight

24.

Classify the angle

a)

acute

b)

obtuse

c)

right

d)

straight

25.

Find the value of y.

a)

15

b)

85

c)

95

d)

19

Angle Relationships to Find Angle Measures

Total questions: 25

Worksheet time: 49mins

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