Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises - Page 74: 2b


m$\angle$6 = 71$^{\circ}$

Work Step by Step

Postulate says that 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$3 and $\angle$6 are alternate angles, we know that $\angle$3 and $\angle$6 are congruent. Since $\angle$3=71$^{\circ}$, $\angle$6 must also be 71$^{\circ}$.
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