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Q4.

Expert-verifiedFound in: Page 700

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

**Find the measure of an exterior angle of a regular pentagon.**

The measure of an exterior angle of a regular pentagon** **is $72\xb0$.

The polygon is regular pentagon.

**All exterior angles of a regular polygon are equal and the measure of an exterior angle of regular n-gon, is**

Here, polygon is regular pentagon that is $n=5$.

Calculate the measure of the exterior angle by substituting 5 for *n*.

$\begin{array}{c}180\xb0-\frac{\left(5-2\right)\times 180\xb0}{5}=180\xb0-\frac{3\times 180\xb0}{5}\\ =180\xb0-108\xb0\\ =72\xb0\end{array}$

The measure of an exterior angle of a regular pentagon** **is $72\xb0$.

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