How to determine the number of sides of a regular polygon, given one interior angle

The video tutorial explains how to determine the number of sides of a polygon given the measure of one interior angle. It introduces two formulas related to the sum and measure of interior angles. The tutorial guides viewers through selecting the appropriate formula, solving for the number of sides using algebraic techniques, and verifying the solution. The example used involves a polygon with each angle measuring 108 degrees, leading to the conclusion that the polygon is a pentagon.

What are the two formulas discussed for calculating angles in a polygon?

How do you calculate the measure of one interior angle of a polygon?

If one angle of a polygon is 108 degrees, which formula should be used to find the number of sides?

What steps are involved in isolating the variable when solving for the number of sides in a polygon?

What is the name of a five-sided figure, and how is it related to the angles discussed?