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)

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 1 2 3 4 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 Are 1 and 2 a linear pair? Are 4 and 5 a linear pair? Are 3 and 1 vertical angles? Are 2 and 5 vertical angles?

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

A and B are complementary 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

A and B are complementary 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 If mA = 48° then mB = _____ and mC = _____

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

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

A and B are complementary and B and C are supplementary 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