Given one interior angle, find the number of sides of the regular polygon

The video tutorial explains how to determine the number of sides of a regular polygon when given the measure of one interior angle, specifically 144 degrees. It introduces the formula for calculating the measure of an interior angle and demonstrates how to solve for the number of sides using algebraic manipulation. The process involves applying the distributive property and solving the resulting equation to find that the polygon is a decagon with 10 sides.

What is the measure of the interior angle given in the problem?

• 160 degrees

• 144 degrees

• 120 degrees

• 180 degrees

Which formula is used to find the measure of an interior angle in a regular polygon?

• I = (n - 2) * 360 / n

• I = 180 / (n - 2)

• I = n * 180 / (n - 2)

• I = (n - 2) * 180 / n

What is the first step in solving the equation to find the number of sides?

• Add 180 to both sides

• Divide both sides by 180

• Multiply both sides by N

• Subtract 144 from both sides

What property is applied to remove the variable from the parentheses?

• Associative Property

• Identity Property

• Commutative Property

• Distributive Property

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

• 12

• 8

• 10

• 9