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Expert-verified Found in: Page 699 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Find the sum of the measures of the interior angles of a convex 10-gon.

The sum of the measures of all interior angles of a convex 10-gon is $1440°$.

See the step by step solution

## Step 1. Given Information.

The polygon is convex 10-gon.

## 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 is $n=10$.

Calculate the sum of the all-interior angle of a convex 10-gon.

$\begin{array}{c}\left(n-2\right)×180°=\left(10-2\right)×180°\\ =8×180°\\ =1440°\end{array}$

## Step 4. Conclusion.

The sum of the measures of all interior angles of a convex 10-gon is $1440°$ . ### Want to see more solutions like these? 