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Section 14.1: Angles Formed by Intersecting Lines 1 Objective: By following instructions, students will be able to: 1. Find the measures of angles formed by intersecting lines. 2 DEF: complementary angles – two angles whose sum of their measures is 90 degrees. DEF: supplementary angles – two angles whose sum of their measures is 180 degrees. COMPLEMENTARY ANGLES (adjacent and nonadjacent) SUPPLEMENTARY ANGLES (adjacent and nonadjacent) 3 Def: linear pair – two adjacent angles whose non common sides are opposite rays. 4 Def: vertical angles– two angles whose sides form two pairs of opposite rays. • Angles are congruent 120 60 60 120 5 explain 1 Cross braces help keep the deck posts straight. Find the measure of each angle. a) 6 b) 5 and7 6 Your-Turn #1 The measures of two vertical angles are given by the expressions (x + 3)° and (2x - 7)°. Find the value of x. What is the measure of each angle? 7 DEF: complementary angles – two angles whose sum of their measures is 90 degrees. DEF: supplementary angles – two angles whose sum of their measures is 180 degrees. COMPLEMENTARY ANGLES (adjacent and nonadjacent) SUPPLEMENTARY ANGLES (adjacent and nonadjacent) 8 explain 2 Use the diagram below to find the missing angle measures. Explain your reasoning. a) Find the measures of AFC and AFB. b) Find the measures of DFE and AFE. 9 Revisit Objective: Did we… 1. Find the measures of angles formed by intersecting lines? 10 HW: Sec 14.1 pg 508 #s 1-12 11