In order to find the sum of the measures of the interior angles of a pentagon, we will use the below mentioned formula.
[tex]\text{Sum of Interior Angles }= (n-2)180^{\circ}[/tex]
In case of pentagon, we have
[tex]n=5[/tex]
On substituting the value of n in the above formula, we get
[tex]\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}[/tex]
Therefore, the sum of the measures of the interior angles of a pentagon is 540 degrees.
