Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 1 - Test - Page 45: 1

Answer

Complement= $23^{\circ}$ Supplement= $113^{\circ}$

Work Step by Step

Complementary angles are two positive angles with a sum of $90^{\circ}$ and supplementary angles are two positive angles with a sum of $180^{\circ}$. Let the complement of the $67^{\circ}$ angle be $x^{\circ}$. Then, $67^{\circ}+x^{\circ}=90^{\circ}\implies x^{\circ}=90^{\circ}-67^{\circ}=23^{\circ}$ Let the supplement of the $67^{\circ}$ angle be $y^{\circ}$. Then, $67^{\circ}+y^{\circ}=180^{\circ}\implies y^{\circ}=180^{\circ}-67^{\circ}=113^{\circ}$
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