What is the sum of the measures of the interior angles of a 14-sided polygon?

Solution:

Given, number of sides = 14

We need to find the sum of the measures of the interior angles.

We know that, 

Sum of interior angles = (n - 2) × 180°

Where, n = number of sides

So, sum of interior angles = (14 - 2)×180°

By further calculation

= 12×180°

= 2160°

Therefore, the sum of the measures of the interior angles is 2160°.

What is the sum of the measures of the interior angles of a 14-sided polygon?

Summary:

The sum of the measures of the interior angles of a 14-sided polygon is 2160°.