Elementary Geometry for College Students (5th Edition)

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

Chapter 2 - Section 2.4 - The Angles of a Triangle - Exercises - Page 98: 44

Answer

The sum of the measures of the angles in a triangle is equal to 180$^{\circ}$. If a triangle is right, then one angle measures 90$^{\circ}$. Therefore, the sum of the remaining angles must be 90$^{\circ}$, making them complimentary.

Work Step by Step

The sum of the acute angles in a right triangle is 90$^{\circ}$ so they are complimentary angles.
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