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: 4a

Answer

m$\angle$5=110.8$^{\circ}$

Work Step by Step

If two parallel lines are cut by a transversal, then the pairs of alternate angles are congruent. Since we are given that lines l and m are parallel, and $\angle$4 and $\angle$5 are alternate angles, we know that $\angle$4 and $\angle$5 are congruent. Since $\angle$4=110.8$^{\circ}$, $\angle$5 must also be 110.8$^{\circ}$.
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