Given the measure of one interior angle find the number of sides for a polygon

The video tutorial explains how to determine the number of sides in a regular polygon given the measure of one interior angle. The teacher discusses two formulas: one for the measure of an interior angle and another for the sum of all interior angles. The focus is on using the formula for one interior angle to solve for the number of sides, N. The tutorial includes a step-by-step solution, emphasizing algebraic manipulation to isolate N.

What is the measure of one interior angle in the given regular polygon?

• 90 degrees

• 180 degrees

• 150 degrees

• 120 degrees

Which formula is used to find the number of sides of a polygon when one interior angle is known?

• Area of polygon formula

• Single interior angle formula

• Exterior angle formula

• Sum of interior angles formula

What is the first step in solving the equation for N when N is in the denominator?

• Subtract N from both sides

• Divide by N on both sides

• Add N to both sides

• Multiply by N on both sides

After applying the distributive property, what is the next step to isolate N?

• Add 180N to both sides

• Subtract 360 from both sides

• Subtract 180N from both sides

• Add 360 to both sides

How many sides does the polygon have after solving the equation?

• Six

• Five

• Four

• Seven