Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-3 Proving Lines Parallel - Practice and Problem-Solving Exercises: 52

Answer

m$\angle$1 = 70$^{\circ}$ and m$\angle$2 = 110$^{\circ}$

Work Step by Step

$\angle$1 is supplementary to an angle that measures 110$^{\circ}$. As supplementary angles equal 180, we can solve for m$\angle$1: $\angle$1 + 110 = 180 $\angle$1 + 110 -110 = 180-110 $\angle$1 = 70$^{\circ}$ $\angle$2 is supplemtnary to $\angle$1. As $\angle$1 is 70$^{\circ}$, and the two angles are supplementary, we can solve for m$\angle$2: $\angle$2 + 70 = 180 $\angle$2 + 70 -70 = 180 - 70 $\angle$2 = 110$^{\circ}$
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