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Q4.

Expert-verifiedFound in: Page 701

Book edition
Common Core Edition

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

Pages
183 pages

ISBN
9780547587776

**In Exercise 3-6, match the description with correct value.**

** **

**Measures of interior angles of a regular hexagon. **

The measures of interior angles of a regular hexagon is $120\xb0$.

Here, the polygon is regular hexagon.

All interior angles of a regular polygon are equal and the measure of an interior angle of regular n-gon is $\frac{\left(n-2\right)\times 180\xb0}{n}$.

Here, polygon is regular hexagon this implies that $n=6$.

Therefore, The measures of interior angles of a regular hexagon is

$\begin{array}{c}\frac{\left(n-2\right)\times 180\xb0}{n}=\frac{\left(6-2\right)\times 180\xb0}{6}\\ =\frac{4\times 180\xb0}{6}\\ =\frac{720\xb0}{6}\\ =120\xb0\end{array}$

The measures of interior angles of a regular hexagon is $120\xb0$.

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