Interior Angles and Solving for x

The video tutorial explains how to determine the sum of interior angles in a polygon by first identifying the number of sides. It then sets up an equation using expressions for each angle and solves for the variable x. The process involves combining like terms and solving the equation to find the value of x, which represents the measure of each angle in the polygon.

What is the first step in solving a problem involving interior angles?

• Find the area

• Calculate the perimeter

• Determine the number of sides

• Identify the type of polygon

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

• n * 360°

• (n + 2) * 180°

• n * 180°

• (n - 2) * 180°

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

• 720°

• 540°

• 180°

• 360°

What should you do after determining the sum of the interior angles?

• Find the length of each side

• Calculate the exterior angles

• Divide the sum by the number of sides

• Set up an equation with the given angle expressions

Which of the following is a correct expression for the sum of the given angles?

• x - 8 + 3x - 11 + x + 8 + 2x + 9 + x = 360

• x - 8 + 3x - 11 + x + 8 + 2x + 9 = 540

• x + 3x + x + 2x + x = 540

• x - 8 + 3x - 11 + x + 8 + 2x + 9 + x = 540

What is the next step after setting up the equation with the given angle expressions?

• Combine like terms

• Subtract the constants

• Multiply the terms

• Divide the terms

How many x terms are there in the equation x - 8 + 3x - 11 + x + 8 + 2x + 9 + x?

• 8

• 6

• 5

• 7

What is the combined value of the constants in the equation x - 8 + 3x - 11 + x + 8 + 2x + 9 + x?

• 4

• 0

• -2

• 2

What is the value of x when 8x = 542?

• 68.5

• 67.75

• 68.1

• 68.25

What should you do after finding the value of x?

• Recalculate the sum of the angles

• Check the perimeter of the polygon

• Substitute x back into the original expressions

• Find the exterior angles