Trigonometry (11th Edition) Clone

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

Chapter 1 - Trigonometric Functions - Section 1.1 Angles - 1.1 Exercises - Page 7: 4

Answer

45$^{\circ}$

Work Step by Step

When the sum of the measures of the two positive angle is 90$^{\circ}$, the angles are called complimentary and the angle are compliment to each other. a$^{\circ}$ and b$^{\circ}$ are complimentary angles therefore a$^{\circ}$ + b$^{\circ}$ = 90$^{\circ}$ If a is compliment to itself than b$^{\circ}$ = a$^{\circ}$ The compliment of angle a$^{\circ}$ is b$^{\circ}$which can be written as b$^{\circ}$ = 90$^{\circ}$ - a$^{\circ}$ Hence a$^{\circ}$ = 90$^{\circ}$ - a$^{\circ}$ a$^{\circ}$ + a$^{\circ}$ = 90$^{\circ}$ 2a$^{\circ}$ = 90$^{\circ}$ a$^{\circ}$ = 45$^{\circ}$
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