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

The video tutorial explains how to calculate the measure of one angle in a regular polygon using the formula (n-2) * 180 / n. It discusses the meaning of variables M and N, where M represents the measure of an angle and N represents the number of sides. The tutorial then demonstrates solving for N when the measure of one angle is given as 120 degrees, resulting in a polygon with six sides. The session concludes with a recap and encouragement for students to note down the solution.

What is the formula to calculate the measure of one angle in a regular polygon?

• n * 180 / (n-2)

• 180 / (n-2)

• (n+2) * 180 / n

• (n-2) * 180 / n

In the formula for the measure of one angle in a regular polygon, what does 'n' represent?

• The area of the polygon

• The number of sides

• The measure of the angle

• The perimeter of the polygon

If the measure of one angle in a regular polygon is 120 degrees, what is the first step to find the number of sides?

• Subtract 120 from both sides

• Divide both sides by 120

• Multiply both sides by n

• Add 120 to both sides

After multiplying both sides by n, what is the next step in solving for the number of sides?

• Multiply by 60

• Divide by 60

• Subtract 180n from both sides

• Add 360 to both sides

What is the number of sides of the polygon if the measure of one angle is 120 degrees?

• 5

• 6

• 7

• 8