Chapter 11.3, Problem 15IP

To determine

To determine the sum of the measure of the interior angles of each polygon.

Answer to Problem 15IP

  $1620°$

Explanation of Solution

Given:

11-gon

Formula used:

The sum of the measure of the interior angles $= \left(n-2\right)\times 180$

Calculation:

The 11-gon has $11$ sides, $n=11.$

The sum of the measure of the interior angles $= \left(n-2\right)\times 180$ , where $n$ represents number of sides.

  $\Rightarrow$ The sum of the measure of the interior angles $= \left(n-2\right)\times 180$

  $\Rightarrow$ The sum of the measure of the interior angles $= \left(11-2\right)\times 180$

  $\Rightarrow$ The sum of the measure of the interior angles $=9\times 180$

  $\Rightarrow$ The sum of the measure of the interior angles $=1620°$

Conclusion:

Therefore, the sum of the measure of the interior angles is $1620°.$