Find the measure of x given interior angles of a pentagon

The video tutorial explains how to calculate the sum of interior angles of a polygon using the formula (n-2) * 180 degrees, where n is the number of sides. The instructor demonstrates the process by determining the number of sides, calculating the sum of angles, and solving for X using algebraic expressions. The tutorial emphasizes combining like terms and solving equations to find the value of X, which represents the measure of each angle in the polygon.

What is the formula to calculate the sum of interior angles of a polygon with n sides?

• n * 180 degrees

• (n-2) * 180 degrees

• n * 360 degrees

• (n+2) * 180 degrees

If a polygon has 5 sides, what is the sum of its interior angles?

• 540 degrees

• 360 degrees

• 180 degrees

• 720 degrees

Which of the following represents the sum of the angles in the equation setup for the polygon?

• X - 8 + 3X + 11 + X - 8 + 2X - 9 + X

• X + 8 + 3X + 11 + X + 8 + 2X + 9 + X

• X + 8 + 3X + 11 + X - 8 + 2X - 9 + X

• X - 8 + 3X - 11 + X + 8 + 2X + 9 + X

What is the first step in solving the equation for X?

• Subtract 2 from both sides

• Multiply all terms by 8

• Combine like terms

• Divide all terms by 8

What is the value of X after solving the equation?

• 72.5

• 54.2

• 68.1

• 60.3