Question

A regular polygon has 72 sides.
Find the size of each of its interior angles.

Answer 1

The formula for finding the measure of each interior angle is below.

180(n - 2) / n where n represents the number of sides.

Since the polygon has 72 sides, we plug a 72 in for n.

So we have 180(72 - 2)/72 or 180(70)/72 which is 12600/72 or 175.

So the measure of each interior angle is 175 degrees.