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Q3.

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.Sum of measures of interior angles of a convex heptagon. $360°$

The sum of the measures of all interior angles of a convex heptagon is $900°$.

See the step by step solution

## Step 1: Given information.

Here, the polygon is convex heptagon.

## Step 2: Formula used.

The sum of the measure of the all interior angles of a convex n-gon is $\left(n-2\right)×180°$.

## Step 3: Calculation.

Here, polygon is convex heptagon this implies that $n=7$.

Therefore, the sum of the all interior angle of a convex heptagon is,

$\begin{array}{c}\left(n-2\right)×180°=\left(7-2\right)×180°\\ =5×180°\\ =900°\end{array}$

Therefore, the sum of the measures of all interior angles of a convex heptagon is.