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Name 3-3 Class Date Think About a Plan Proving Lines Parallel Algebra Determine the value of x for which r ║ s. Then find m1 and m2. Given: m1 = 20 8x, m2 = 30 16x 1. Is 1 an interior angle or an exterior angle? Is 2 an interior angle or an exterior angle? <1 is exterior and <2 is interior 2. Do 1 and 2 lie on the same side of the transversal or on opposite sides of the transversal? Same Side 3. What type of angle pair are 1 and 2? Corresponding 4. If r ║ s, and 1 and 2 are the type of angle pair you named above, how are the angles related? congruent 5. What equation can you write using the given information? 20-8x=30-16x 6. What is the value of x? x=10/8 or 5/4 7. Substitute the value of x into each expression. What are the measures of each angle? 20-8(5/4)=20-10=10 m1 = 20 8x = m2 = 30 16x = 30-16(5/4)=30-20+10 8. Would this value of x prove that r ║ s? Explain. Yes, by the converse of the corresponding angle theorem/postulate Prentice Hall Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 22