CP Geometry 1.5 Describing Angle Pair Relationships Objectives: Name: ________________________________________ Date: _________________________ Block: ________ To use special angle relationships to find angle measurements To answer, “How do you identify complementary and supplementary angles?” Key Vocabulary Complementary angles: Supplementary angles Adjacent Angles Complementary Angles Adjacent Nonadjacent Supplementary Angles Adjacent Nonadjacent EXAMPLE 1 In the figure, name a pair of complementary angles and a pair of supplementary. EXAMPLE 2 a) Given that <1 is a complement of <2 and m<1 = 68, find m<2. b) Given that m<3 is twice its supplement <4, find m<4. EXAMPLE 3 <LMN and <PQR are complementary angles. Find the measure of each angle if m<LMN = (4x - 2) and m<PQR = (9x +1). Angle Pairs Linear pair: Vertical angles: EXAMPLE 4 Identify all the vertical angles and all the linear pairs in the diagram. Two angles form a linear pair. One angle is 5 times the measure of the other. Draw a diagram and solve for each angle. Find x and y for each problem. (10x + 44) 45 (3x + 27) (6y) (6x + 10y) 36 (32x + 2y) (12x+40)