M217 Section 1.4

Angle Pairs

2

Special Angle PairsTerm Definition ExampleAdjacent Angles

Linear Pair

Vertical Angles

Ex 1: Name each angle pair as adjacent, linear, vertical, or none• 1 and 2• 3 and 4• 3 and 5• 1 and 3• 2 and 3

1

23

4

5

2. Solve for x

2x + 1035 + x

Solve as indicated3. and are vertical angles. Let (3 8)

and (2 6) . Solve for x and .A B m A xm B x m A

4. and are a linear pair. Let (3 4)and (7 6) . Solve for x and .A B m A xm B x m B

6

Special Angle PairsTerm Definition ExampleComplementary Angles

Supplementary Angles

7

Find each Supplement and Complement

Angle Complement Supplement5) 65◦

6) 87.2◦

7) 95◦

8) (4x + 2)◦

9) (10x – 6)◦

Solve as indicated10. and are supplementary angles. Let (2 )

and (8 6) . Solve for x and .A B m A xm B x m A

11. The ratio of the measures of two complementary angles is 1:3. What is the measure of the larger angle?