Determine the number of sides of a regular polygon given one interior angle ex 1

The video tutorial explains how to determine the number of sides of a regular polygon when given the measure of one interior angle. It introduces the formula for calculating the interior angle based on the number of sides and demonstrates the steps to solve for the number of sides using algebraic manipulation, including applying the distributive property. The tutorial concludes with finding that a polygon with an interior angle of 135 degrees is an octagon.

What is a key characteristic of a regular polygon?

• All sides and angles are equal.

• It has at least one right angle.

• All angles are different measures.

• All sides are different lengths.

Which variable represents the number of sides in the formula for interior angles?

• S

• I

• N

• A

What is the measure of the interior angle used in the example?

• 150 degrees

• 135 degrees

• 120 degrees

• 90 degrees

What mathematical property is applied to simplify the equation in the solution process?

• Associative property

• Commutative property

• Distributive property

• Identity property

How many sides does a regular polygon have if each interior angle measures 135 degrees?

• 7

• 9

• 8

• 6