Free Printable Angle Addition Postulate

1.

a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

2.

a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

3.

a)

50°

b)

58°

c)

115°

d)

226°

4.

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

a)

x = 13

m∠RST = 155°

m∠RSU = 102°

b)

x = 3

m∠RST = 35°

m∠RSU = 12°

c)

x = 22

m∠RST = 263°

m∠RSU = 183°

d)

x = 8

m∠RST = 95°

m∠RSU = 57°

5.

∠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°

6.

Solve

a)

25°

b)

125°

c)

145°

d)

45°

7.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

8.

Solve

a)

134°

b)

78°

c)

180°

d)

178°

9.

a)

46

b)

130

c)

10

d)

176

10.

a)

85

b)

131

c)

46

d)

12

11.

a)

38⁰

b)

8⁰

c)

30⁰

d)

130⁰

12.

a)

8⁰

b)

28⁰

c)

120⁰

d)

148⁰

13.

a)

2⁰

b)

-2⁰

c)

-30⁰

d)

30⁰

14.

a)

$4$

b)

$-3$

c)

$-5$

d)

$9$

15.

a)

$-2\degree$

b)

$178\degree$

c)

$10\degree$

d)

$152\degree$

16.

a)

$85\degree$

b)

$131\degree$

c)

$90\degree$

d)

$149\degree$

17.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

18.

$\overrightarrow{BD}$ bisects $\angle ABC$ , $m\angle ABD=3x+5$ and $m\angle ABC=2x+30$ . Find $m\angle DBC$ .

a)

$15\degree$

b)

$35\degree$

c)

$5\degree$

d)

$20\degree$

Angle Addition Postulate

Total questions: 18

Worksheet time: 31mins

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