# What is the sum of the measures of the interior angles of a 25-sided polygon?

##### 1 Answer

Dec 21, 2016

Sum of the measures of the interior angles of of a 25-sided polygon is

#### Explanation:

Sum of the measures of all the **exterior** angles of any polygon, irrespective of its number of sides is always

As the measure of each pair of exterior and interior angles of a polygon adds up to

Sum of the measures of all the exterior angles and all interior angles of a **25-sided polygon** is

Hence, sum of all the interior angles of of a 25-sided polygon is

From the above information, we can see that for an

Sum of interior angles =