Chapter 7, Problem 13RP

a

To determine

The sum of the measures of the angles of the polygon are to be found

Answer to Problem 13RP

The sum of the measures of the angles is ${5580}^0$

Explanation of Solution

Given information : The following information has been given

The polygon has $33$ sides

Formula used:The sum of the n sided polygon is given as

  $s=(n-2){180}^0$

Where

“ n ” is the number of sides of the polygon

Calculation : We know that sum of the angles for a polygon with n sides will be equal to

  $s=(n-2){180}^0$

Thus, substituting the value of n as $33$ , we get

  $s={5580}^0$

b

To determine

The sum of the measures of the exterior angles of the polygon are to be found

Answer to Problem 13RP

The sum of the measures of the exterior angles is ${360}^0$

Explanation of Solution

Given information : The following information has been given

The polygon has $33$ sides

We know that the sum of the exterior angles of any polygon will be equal to ${360}^0$

Thus, even when a polygon has $33$ sides, the sum will be equal to ${360}^0$