How many sides does a regular polygon have if given one interior angle

The video tutorial explains how to determine the number of sides in a regular polygon when given the measure of one interior angle. It introduces the formula for calculating the measure of an interior angle and demonstrates solving for the number of sides using algebraic manipulation. The tutorial concludes with a recap of the steps and a brief discussion on the properties of a dodecagon.

What is the formula for the measure of one interior angle of a regular polygon?

• n * 180 / (n - 2)

• (n - 2) * 180 / n

• 180 / (n - 2)

• n * (n - 2) / 180

What is the first step in solving the equation 150 = (n - 2) * 180 / n for n?

• Subtract 180 from both sides

• Multiply both sides by n

• Add 360 to both sides

• Divide both sides by 150

After applying the distributive property, what equation do we get?

• 150n = 180n - 360

• 150n = 180n + 360

• 150n = 360 - 180n

• 150n = 360 + 180n

What is the final value of n when solving the equation for the polygon's sides?

• 10

• 13

• 11

• 12

What is the name of a polygon with twelve sides?

• Decagon

• Undecagon

• Dodecagon

• Tridecagon