Given one interior angle, find the number of sides of the regular polygon

The video tutorial explains how to determine the number of sides of a regular polygon when given the measure of one interior angle, specifically 144 degrees. It introduces the formula for calculating the measure of an interior angle and demonstrates how to solve for the number of sides using algebraic manipulation. The process involves applying the distributive property and solving the resulting equation to find that the polygon is a decagon with 10 sides.

Explain the steps taken to eliminate N from the denominator in the equation.

What type of polygon is formed when the measure of the interior angles is 144 degrees?