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?