How to determine the number of sides given one interior angle

The video tutorial covers the properties of regular polygons, focusing on calculating the sum of interior angles and individual angles. It explains how to determine the number of sides of a polygon when given the measure of one angle. The tutorial includes solving equations to find the number of sides and demonstrates the use of the distributive property in these calculations.

What is the formula for the sum of all interior angles of a polygon with n sides?

• (n-2) x 180 degrees

• n x 180 degrees

• (n+2) x 180 degrees

• n x 360 degrees

How do you find the measure of one interior angle in a regular polygon?

• Subtract the number of sides from the sum of interior angles

• Multiply the sum of interior angles by the number of sides

• Add the number of sides to the sum of interior angles

• Divide the sum of interior angles by the number of sides

If one interior angle of a regular polygon is 156 degrees, what is the first step to find the number of sides?

• Set up the equation 156 = (n-2) x 180 / n

• Set up the equation 156 = n x 180

• Set up the equation 156 = (n+2) x 180 / n

• Set up the equation 156 = n x 360

What is the next step after setting up the equation 156 = (n-2) x 180 / n?

• Add 2 to both sides

• Divide both sides by 180

• Subtract 156 from both sides

• Multiply both sides by n

After multiplying both sides by n, what property is applied to simplify the equation?

• Associative property

• Identity property

• Distributive property

• Commutative property

What is the final step to solve for n in the equation 156n = 180n - 360?

• Subtract 180n from both sides

• Multiply both sides by 24

• Add 360 to both sides

• Divide both sides by -24

How many sides does a regular polygon have if one interior angle measures 156 degrees?

• 15

• 12

• 18

• 10