Elementary Geometry for College Students (5th Edition)

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

Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 252: 39

Answer

$60^{\circ}$

Work Step by Step

The lines AC, AF and CF all are of equal lengths as they join the vertices of the cube. Since the triangle ACF is formed from 3 lines of equal lengths, it is an equilateral triangle. Equilateral triangles have internal angles of $60^{\circ}$, thus angle ACF is $60^{\circ}$
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