Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - 5.1 Angles - 5.1 Exercises - Page 504: 30

Answer

$(6x-4)^\circ=80^\circ$ $(8x-12)^\circ=100^\circ$

Work Step by Step

If two angles are supplementary, the sum of the two angles is a straight angle ($180^\circ$): $(6x-4)^\circ+(8x-12)^\circ=(14x-16)^\circ=180^\circ$ $14x-16=180$ $14x=180+16=196$ $x=14$ $(6x-4)^\circ=80^\circ$ $(8x-12)^\circ=100^\circ$
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