1.1.4 Pairs of Angles − Worksheet

Example 1: Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. 1. ∠ 1 and ∠ 2 2. ∠ 1 and ∠ 3

F

G

H

E 1 3 2 4

3. ∠ 2 and ∠ 4

4. ∠ 2 and ∠ 3

J

Example 2: Find the measure of each of the following. 5. supplement of ∠ A

6. complement of ∠ A

(6 x – 5)˚

B

81.2˚

7. supplement of ∠ B

8. complement of ∠ B

A

Example 3: 9. An angle’s measure is 6 degrees more than 3 times the measure of its complement. Find the measure of the angle .

Example 4: 10. A sprinkler swings back and forth between A and B in such a way that ∠ 1 ≅ ∠ 2. ∠ 1 and ∠ 3 are complementary, and ∠ 2 and ∠ 4 are complementary . If m ∠ 1 = 18.5°, find m ∠ 2, m ∠ 3, and m ∠ 4.

A

B

1 2 3 4

Example 5: 11. Name each pair of vertical angles.

A

C

B

E

D

36

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