Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.1 Points, Lines, Planes, and Angles - Exercise Set 10.1: 29

Answer

1:68° 2:68° 3: 112 ° 4:112° 5:68° 6:68° 7:112°

Work Step by Step

1 and 112° are Supplementary angles, Thus 1 = 180°-112°= 68° 1:68° 1 and 2 are vertical angles (Opposite angles formed when the two lines intersect) and thus are equal. 2: 68° 112° and 3 are vertical angles and thus are equal. 3: 112° 3 and 4 are alternate interior angles and thus are equal. 4: 112° 2 and 5 are alternate interior angles and thus are equal. 2: 68° Thus 5: 68° 5 and 6 are vertical angles and thus are equal. 6: 68° 4 and 7 are vertical angles and thus are equal. 4: 112° Thus 7: 112°
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