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 is the formula for calculating the sum of interior angles of a polygon?

• n + 180

• n * 180

• (n + 2) * 180

• (n - 2) * 180

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

• Exterior angle formula

• Measure of one interior angle

• Sum of interior angles

• Area of polygon formula

What operation is used to eliminate the denominator when solving for the number of sides?

• Addition

• Subtraction

• Multiplication

• Division

After applying the distributive property, what is the next step to isolate the variable?

• Multiply the terms on both sides

• Subtract the terms on both sides

• Divide the terms on both sides

• Add the terms on both sides

What is the name of a polygon with five sides?

• Hexagon

• Triangle

• Quadrilateral

• Pentagon