Explain how we got the value of our interior angles

The sum of the interior angles of a polygon can be found by using the formula:

sum = (n-2) x 180

where n represents the number of sides of the polygon.

To find the measure of a single interior angle of a regular polygon (where all angles are equal), we divide the sum by the number of sides:

angle = sum/n

Therefore, the value of our interior angle was determined by knowing the number of sides our polygon has and utilizing the above formulas.