Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapters 1-3 - Cumulative Test - Page 176: 2

Answer

$\theta=120^o$

Work Step by Step

The sum of the interior angles of a polygon with $n$ sides is given by the formula $180^o(n-2)$. This means that the sum of the interior angles of a hexagon, which has 6 sides, is $180^o(6-2) = 180^o(4)=720^o$. To find the measure of each interior angle of a regular hexagon, simply divide the sum of the interior angles by 6. Thus, the measure of each interior angle of a regular hexagon is: $\theta=\dfrac{720^o}{6} = 120^o$.
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