Determine the number of sides of a polygon when given the sum of interior angles ex

The video tutorial explains how to determine the number of sides of a polygon when given the sum of its interior angles. It introduces the formula for the sum of angles in a polygon, which is (n-2) * 180 degrees, where n is the number of sides. The tutorial demonstrates how to solve for n when the sum of the angles is 1440 degrees, leading to the conclusion that the polygon is a decagon with 10 sides.

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

• (n + 2) * 180

• n + 180

• (n - 2) * 180

• n * 180

If the sum of the interior angles of a polygon is 1440 degrees, what is the first step to find the number of sides?

• Add 360 to 1440

• Multiply 1440 by 2

• Subtract 360 from 1440

• Divide 1440 by 180

What operation is used to eliminate the parentheses in the equation 180(n - 2)?

• Division

• Subtraction

• Addition

• Distributive Property

After applying the distributive property, what is the next step to solve for the number of sides?

• Multiply both sides by 180

• Subtract 360 from both sides

• Divide both sides by 180

• Add 360 to both sides

What is the name of a polygon with 10 sides?

• Hexagon

• Dodecagon

• Octagon

• Decagon