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Q1.

Expert-verifiedFound in: Page 699

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 $1440\xb0$.

The polygon is convex 10-gon.

The sum of the measure of the all-interior angles of a convex *n*-gon is** $\left(n-2\right)\times 180\xb0$****.**

Here, polygon is convex heptagon this is $n=10$.

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

$\begin{array}{c}\left(n-2\right)\times 180\xb0=\left(10-2\right)\times 180\xb0\\ =8\times 180\xb0\\ =1440\xb0\end{array}$

The sum of the measures of all interior angles of a convex 10-gon is $1440\xb0$ .

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