Understanding Interior Angles of a Pentagon

The video tutorial explains how to find the missing interior angles of a pentagon. It begins by introducing the formula for the sum of interior angles of a polygon, which is (n-2) times 180 degrees. The tutorial then sets up an equation using given angle measures, solves for the variable x, and calculates the missing angles. The final angles are determined to be 91.5 and 103.5 degrees.

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

• n times 180 degrees

• n plus 2 times 180 degrees

• n divided by 2 times 180 degrees

• n minus 2 times 180 degrees

If two angles of a pentagon measure x degrees each, and two others measure x + 12 degrees each, what is the equation to find x?

• 2x + 2(x + 12) + 150 = 3 times 180

• 2x + 2(x + 12) + 150 = 5 times 180

• 2x + 2(x + 12) + 150 = 4 times 180

• 2x + 2(x + 12) + 150 = 2 times 180

What is the value of x after solving the equation 4x + 174 = 540?

• 93.5

• 91.5

• 92.5

• 90.5

After finding x, what is the measure of the angles that are x + 12 degrees?

• 102.5 degrees

• 103.5 degrees

• 104.5 degrees

• 101.5 degrees

What are the final measures of the angles in the pentagon?

• 91.5 and 102.5 degrees

• 91.5 and 103.5 degrees

• 92.5 and 103.5 degrees

• 92.5 and 104.5 degrees