Chapter 11.5, Problem 2GP

To determine

To find the sum of the measures of the interior angles of a 13-gon.

Answer to Problem 2GP

The sum of the measures of the interior angles of a 13-gon is ${1980}^{\circ }$ & option H is correct.

Explanation of Solution

Given:

Polygon is a 13-gon.

Concept used:

The sum of interior angles of a polygon with n sides is $\left(n-2\right)\times {180}^{\circ }$ .

Calculation:

Given that the polygon has 13 sides.

Therefore sum of interior angles is,

  $\begin{array}{l}\left(n-2\right)\times {180}^{\circ }=\left(13-2\right)\times {180}^{\circ }\\ =11\times {180}^{\circ }\\ ={1980}^{\circ }\end{array}$

Hence option H is correct.