Chapter 7, Problem 14RP

To determine

The number of sides of the given polygon is to be found

Answer to Problem 14RP

The number of sides are $n=11$

Explanation of Solution

Given information : The sum of the measures of the angles is given as ${1620}^0$

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 for any n sided polygon, the sum of the angles will be equal to

  $s=(n-2){180}^0={1620}^0$

Thus, we get the value of $n=11$