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Q4.

Expert-verified
Found in: Page 701

### Pre-algebra

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 $120°$.

See the step by step solution

## Step 1: Given information.

Here, the polygon is regular hexagon.

## Step 2: Formula used.

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

## Step 3: Calculation.

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

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

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

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