Chapter 11.3, Problem 16IP

To determine

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

Answer to Problem 16IP

  $2520°$

Explanation of Solution

Given:

16-gon

Formula used:

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

Calculation:

The 16-gon has $16$ sides, $n=16.$

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 $= \left(16-2\right)\times 180$

  $\Rightarrow$ The sum of the measure of the interior angles $=14\times 180$

  $\Rightarrow$ The sum of the measure of the interior angles $=2520°$

Conclusion:

Therefore, the sum of the measure of the interior angles is $2520°.$