Using the sum of interior angles for a quadralateral to find the measure of each angle

The video tutorial explains how to find the value of X in a polygon by using angle formulas. It covers the sum of interior angles formula and highlights that it only applies to regular polygons. The tutorial then demonstrates calculating the sum of angles for a given polygon, solving for X, and finding the measures of specific angles. The session concludes with a review and addressing any questions.

Which formula is applicable for finding the sum of interior angles in any polygon?

• n - 2 * 180 divided by n

• n + 2 * 180 degrees

• n - 2 * 180 degrees

• n * 180 degrees

What is the sum of the interior angles of a polygon with 4 sides?

• 720 degrees

• 540 degrees

• 360 degrees

• 180 degrees

How do you solve for X in the equation 10X = 360?

• Divide both sides by 10

• Subtract 10 from both sides

• Multiply both sides by 10

• Add 10 to both sides

If X = 36, what is the measure of angle Y, which is 2X?

• 108 degrees

• 144 degrees

• 72 degrees

• 36 degrees

What is the measure of angle Z if it is represented as 4X and X = 36?

• 180 degrees

• 144 degrees

• 108 degrees

• 216 degrees