Chapter 1 Section 1 6 Angle Pair Relationships

Chapter 1 Section 1. 6 Angle Pair Relationships

Warm-Up 1. Find the midpoint between (-12, 9) & (2, 10) 2. Find the other endpoint if one endpoint is (-5, 9) and the midpoint is (-8, -2)

Linear Pair 1 2 1 and 2 form a linear pair m 1 + m 2 =180° • Two adjacent angles form a linear pair if their noncommon sides are opposite rays. – Form a straight angle. • Any two angles that form a linear pair have a sum of 180°.

Vertical Angles 4 1 3 2 1 and 3 are vertical angles 4 and 2 are vertical angles • Two angles are vertical if their sides form two pairs of opposite rays. • Vertical Angles are congruent

Use the figure to answer the questions 1. Are 1 and 2 a linear pair? 2. Are 4 and 5 a linear pair? 3. Are 3 and 1 vertical angles? 4. Are 2 and 5 vertical angles?

Use the figure to answer the questions 5. If m 6 = 51°, then m 7 = _____ 6. If m 8 = 103°, then m 6 =_____ 7. If m 9 = 136°, then m 8 =_____ 8. If m 7 = 53°, then m 9 =_____

Complementary Angles A 30° 60° B m A + m B = 90 ° A and B are complementary • Two angles are complementary if their sum is 90°. • Each Angle is the complement of the other

Supplementary Angles A 120° 60° B m A + m B = 180 ° A and B are complementary • Two angles are supplementary if their sum is 180°. • Each angle is the supplement of the other

A and B are complementary and B and C are supplementary 9. If m A = 48° then m B = _____ and m C = _____

A and B are complementary and B and C are supplementary 10. If m B = 83° then m A = _____ and m C = _____

A and B are complementary and B and C are supplementary 11. If m C = 127° then m B = _____ and m A = _____

A and B are complementary and B and C are supplementary 12. If m A = 25° then m B = _____ and m C = _____

Find the value of the variable Vertical Angles are congruent Solve for y Solve for x

Find the value of the variable Linear Pairs are add up to 180° Vertical Angles are congruent

Find the value of the variable Vertical Angles are congruent Solve for x Solve for y