How to determine the number of sides of a polygon when given the sum of interior ang

The video tutorial explains how to determine the number of sides of a polygon given the sum of its interior angles. It starts by introducing the formula for the sum of interior angles and then demonstrates how to solve for the number of sides using a given sum of 1260 degrees. The process involves simplifying the equation through the distributive property and basic arithmetic operations. The tutorial concludes by identifying the polygon as a nonagon, having nine sides.

What is the formula for calculating the sum of the interior angles of a polygon?

• (n + 2) * 180

• n * 180

• n + 180

• (n - 2) * 180

If the sum of the interior angles of a polygon is 1260 degrees, what is the first step to find the number of sides?

• Divide 1260 by 180

• Subtract 360 from 1260

• Add 360 to 1260

• Multiply 1260 by 2

What operation is used to simplify the equation when solving for the number of sides?

• Division

• Addition

• Distributive Property

• Subtraction

After simplifying the equation, what is the next step to isolate the variable N?

• Add 180 to both sides

• Divide both sides by 180

• Multiply both sides by 180

• Subtract 180 from both sides

What type of polygon has a sum of interior angles equal to 1260 degrees?

• Decagon

• Nonagon

• Octagon

• Hexagon