Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Section 2.2 - Indirect Proof - Exercises - Page 85: 18

Answer

m$\angle$GEF=45$^{\circ}$

Work Step by Step

Observe in the given picture that $\triangle$EFG is a right isosceles triangle with the right angle at $\angle$G. Therefore, the other angles, GEF and EFG, must both be 45$^{\circ}$.
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