Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.1 Angles - 1.1 Exercises: 138

Answer

36$^{\circ}$

Work Step by Step

1. A star has radical symmetry, so if you look at the pink angle labeled as $2\theta$, you will see that five of those fit into the 360$^{\circ} $of the circle: $360^{\circ}\div5=72^{\circ}$ 2. If $2\theta=72^{\circ}$ then $\theta=36^{\circ}$
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