Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 16: 22

Answer

$66^{\circ}6'37"$

Work Step by Step

1. Interior angles of triangle add up to 180 degrees. To find one of the interior angles just subtract two interior angles from 180 degrees. $x=180^{\circ}-17^{\circ}41'13"-96^{\circ}12'10"=66^{\circ}6'37"$
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