Chapter 11, Problem 13CR

To determine

To find:Measure of each interior angle of regular polygon.

Answer to Problem 13CR

Measure of each interior angle of a Hexagon is ${120}^0$

Explanation of Solution

Given information:

Hexagon it means

  $n=6$

We know

Sum of measure of interior angles of a polygon is $\left(n-2\right){180}^0$

Given

  $n=6$

On substituting values

We get

  $\Rightarrow$ Sum of measure of interior angles of a polygon is $\left(6-2\right){180}^0$

  $\Rightarrow$ Sum of measure of interior angles of a polygon is $\left(4\right){180}^0$

  $\Rightarrow$ Sum of measure of interior angles of a polygon is ${720}^0$

As there are six sides

We need to divide the Sum by $6$ to find the measure of one angle.

Measure of each interior angle $=\frac{{720}^0}{6}$

  $\Rightarrow$ Measure of each interior angle $={120}^0$

Therefore,

Measure of each interior angle of a Hexagon is ${120}^0$