Question

In Exercise 3-6, match the description with correct value.

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

Short answer

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

Step-by-step solution

Given information. 

Here, the polygon is convex heptagon.

Formula used. 

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

Calculation. 

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

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

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

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