Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises: 1a


$m\angle5 = 108^{\circ}$

Work Step by Step

Postulate 11 says that if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Since we are given that lines l and m are parallel, and $\angle1$ and $\angle5$ are corresponding angles, we know that $\angle1$ and $\angle5$ are congruent. Since $\angle1 = 108^{\circ}$, $\angle5$ must also be $108^{\circ}$.
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