Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 2 - Reasoning and Proof - 2-3 Biconditionals and Definitions - Practice and Problem-Solving Exercises - Page 102: 20


Two angles are complementary angles if and only if they have measures with a sum of 90.

Work Step by Step

Reversing a statement is similar to writing the converse of a conditional in that you switch the phrases at the start and end of the statement. Two angles with measures that have a sum of 90 are complementary angles. The given statement is reversible, because the reversed statement is true. To write a biconditional, separate the starting and ending phrases with "if and only if".
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