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 - Chapter Review - Page 207: 14

Answer

Angle 1: 75 degrees Angle 2: 105 degrees

Work Step by Step

Angle 1 and the 105 degree angle are same side interior angles, meaning that their sum is 180 degrees in this case. Thus, angle 1 is $\underline {75 ^{\circ}}$ The other angle forms a linear pair with angle 1. In other words, angle two is equal to 180-75 =$\underline {105 ^{\circ}}$
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