Finding the value of x using the interior sum theorem for a hexagon

The video tutorial explains how to find the value of X for the interior angle of a polygon. It begins by discussing the sum of exterior angles, which is always 360 degrees, regardless of the polygon type. The focus then shifts to interior angles, explaining that their sum depends on the number of sides of the polygon. The formula (number of sides - 2) * 180 is used to calculate the sum of interior angles. An example is provided using a hexagon, and the process of solving for X is demonstrated by setting up and solving an equation based on the sum of interior angles.

What is the sum of all exterior angles of any polygon?

• 720 degrees

• 540 degrees

• 360 degrees

• 180 degrees

How do you calculate the sum of interior angles of a polygon?

• Subtract 2 from the number of sides and multiply by 180

• Divide the number of sides by 2 and multiply by 180

• Multiply the number of sides by 180

• Add 2 to the number of sides and multiply by 180

If a polygon has 6 sides, what is the sum of its interior angles?

• 900 degrees

• 720 degrees

• 360 degrees

• 540 degrees

In the equation 36X = 720, what is the value of X?

• 10

• 25

• 20

• 15

What is the first step in solving for X in the sum of interior angles?

• Divide the sum by the number of sides

• Add all the angle expressions together

• Multiply the sum by the number of sides

• Subtract the number of sides from the sum