Find the number of sides of a regular polygon, given the measure of one interior ang

The video tutorial explains how to determine the number of sides of a regular polygon given its interior angle measure of 120 degrees. It introduces the properties of regular polygons, presents the formula for calculating interior angles, and demonstrates solving for the number of sides using algebraic manipulation, including the distributive property. The solution reveals that the polygon is a hexagon.

What is the formula used to calculate the interior angle of a regular polygon?

• I = 180 / (n - 2)

• I = (n - 2) * 180 / n

• I = n * 180 / (n - 2)

• I = 180 * n - 2

What is the first step in solving for the number of sides of the polygon?

• Multiply both sides by n

• Add 180 to both sides

• Divide both sides by 180

• Subtract 120 from both sides

Which property is applied to simplify the equation after multiplying by n?

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

What is the final number of sides calculated for the polygon?

• 8

• 5

• 7

• 6

What type of polygon is formed when each interior angle is 120 degrees?

• Pentagon

• Hexagon

• Heptagon

• Octagon