Question

What is the sum of the measures of the interior angles of a pentagon?

Answer 1

In order to find the sum of the measures of the interior angles of a pentagon, we will use the below mentioned formula.

$\text{Sum of Interior Angles }= (n-2)180^{\circ}$

In case of pentagon, we have

$n=5$

On substituting the value of n in the above formula, we get

$\text{Sum of Interior Angles }= (5-2)180^{\circ}\\ \\ \text{Sum of Interior Angles }=3 \times 180^{\circ}\\ \\ \text{Sum of Interior Angles }=540^{\circ}$

Therefore, the sum of the measures of the interior angles of a pentagon is 540 degrees.