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Q3.

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.**

**Sum of measures of interior angles of a convex heptagon. $360\xb0$**

The sum of the measures of all interior angles of a convex heptagon is $900\xb0$.

Here, the polygon is convex heptagon.

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 implies that $n=7$.

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

$\begin{array}{c}\left(n-2\right)\times 180\xb0=\left(7-2\right)\times 180\xb0\\ =5\times 180\xb0\\ =900\xb0\end{array}$

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

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