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1.5 Angle Relationships • • • 1 2 4 3 • • 5 6 • Supplementary angles - 2 angles that sum up to 180 º Complementary angles - 2 angles that sum up to 90 º Adjacent angles - 2 angles that share a common vertex and side Ex 1: What is the complement and supplement of each angle? a) 34º b) 96º Ex 2: Use the diagram to the right to answer the following questions. a) Name a pair of supplementary angles 2 3 b) Name a pair of complementary angles 1 5 4 c) Name a pair of adjacent angles Ex 3: Find x and y. •N (5x+30)º (4x+15)º P (3y-15)º O (3y+15)º • L • M • Guided Practice 1. Given that ∠1 is a complement of ∠2 and m∠1=8º, find m∠2. 2. ∠LMN and ∠PQR are complementary angles. Find the measures of the angles if m∠LMN = (4x - 2)º and m∠PQR = (9x + 1)º. 3. Two roads intersect to form supplementary angles, ∠XYW and ∠WYZ. Find m∠XYW and m∠WYZ. •W • X (2x + 14)º (4x - 20)º Y • Z vertical angles: 2 ∠s whose sides form 2 pairs of opposite rays. linear pair: 2 adjacent ∠s whose noncommon sides form opposite rays. 1 3 2 6 5 4 Ex 4: Use the diagram to answer the following a) Are ∠1 and ∠2 a linear pair? 2 1 b) Are ∠4 and ∠5 a linear pair? 3 5 4 a) Are ∠5 and ∠3 vertical angles? Ex 5: T and V are supplementary. The measure of T is half of the measure of V. Find the measure of each angle. Guided Practice 5. Two angles form a linear pair. The measure of one angle is 5 times the measure of the other. Find the measure of each angle. 6. Tell whether the angles are vertical angles, a linear pair, or neither. a. 1 and 3 e. 6 and 7 b. 5 and 9 f. 1 and 2 c. 6 and 2 d. 4 and 9 g. 5 and 8 1 2 3 8 4 9 5 6 7 Homework Pages 38-41 #1, 2, 4-7, 9-15 odd, 16, 17-27 odd, 30-54 even, 57