Determine the missing value using the sum of interior angles of a polygon ex 3

The video tutorial explains how to determine the measure of interior angles in polygons, focusing on non-regular polygons. It introduces the formula for the sum of interior angles, which is (n-2) * 180 degrees, where n is the number of sides. The tutorial guides viewers through setting up and solving equations to find unknown angles, emphasizing the importance of writing out equations to avoid mistakes. The video concludes with tips for solving such problems efficiently.

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

• (n - 2) * 180 degrees

• n * 180 degrees

• n * 360 degrees

• (n + 2) * 180 degrees

How many sides does the polygon in the example have?

• 8

• 7

• 6

• 9

What is the total sum of the interior angles for the polygon with eight sides?

• 1080 degrees

• 900 degrees

• 1260 degrees

• 720 degrees

What is the value of X when solving the equation for the unknown angles?

• 99

• 66

• 77

• 88

If one angle is 2X, what is its measure when X equals 88?

• 166 degrees

• 176 degrees

• 186 degrees

• 196 degrees