Chapter 11.3, Problem 17IP

To determine

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

Answer to Problem 17IP

  $3960°$

Explanation of Solution

Given:

24-gon

Formula used:

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

Calculation:

The 24-gon has $24$ sides, $n=24.$

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 $= \left(24-2\right)\times 180$

  $\Rightarrow$ The sum of the measure of the interior angles $=22\times 180$

  $\Rightarrow$ The sum of the measure of the interior angles $=3960°$

Conclusion:

Therefore, the sum of the measure of the interior angles is $3960°.$