How to find the number of sides of a polygon when given the sum of interior angles

The video tutorial explains how to determine the number of sides of a polygon given the sum of its interior angles. It introduces the problem, explains the formula (sum of interior angles = (n-2) * 180), and demonstrates solving for the number of sides (n) using algebraic manipulation. The tutorial concludes with a summary of the steps taken to find the solution.

What is the formula used to find the sum of the interior angles of a polygon?

• Sum = (n + 2) * 180

• Sum = (n - 2) * 180

• Sum = n * 180

• Sum = n * 360

If the sum of the interior angles of a polygon is 360 degrees, what is the first step to find the number of sides?

• Set up the equation 360 = (n - 2) * 180

• Multiply 360 by 2

• Divide 360 by 180

• Subtract 360 from 180

Which property is applied to simplify the equation for finding the number of sides?

• Commutative Property

• Identity Property

• Associative Property

• Distributive Property

What operation is performed to isolate the variable n in the equation?

• Division

• Multiplication

• Subtraction

• Addition

After solving the equation, what is the number of sides of the polygon?

• 3

• 4

• 5

• 6