Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Section 2.4 - The Angles of a Triangle - Exercises - Page 107: 48


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Work Step by Step

1. Since AB is parallel to DE, it follows that the corresponding angles are congruent. 2. Thus, the sum of angles 1 and 2 and angles three and four is 180 degrees, for angles three and 4 are the supplement to angles one and two's corresponding angle. 3. Since angles 1 and 2 and angles 3 and 4 have a bisector going through them, angle one equals angle two, and angle three equals angle four. 4. Thus, combining (2) and (3), it follows that (2) and (3) are complementary. 5. Since the sum of angles in a triangle is 180 degrees, this means that G must be a right angle.
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