Finding the value of x for interior angle of a polygon - parallelogram

The video tutorial explains how to solve for X in a polygon by determining the sum of its interior angles. It covers the formula for calculating the sum of angles in polygons and demonstrates solving an equation by combining like terms. The tutorial concludes with finding individual angle measures using the calculated value of X.

What is the sum of the interior angles of a quadrilateral?

• 180 degrees

• 360 degrees

• 540 degrees

• 720 degrees

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

• n * 180

• (n - 2) * 180

• n + 180

• (n + 2) * 180

How many sides does a polygon have if the sum of its interior angles is 540 degrees?

• 6

• 5

• 4

• 3

What is the first step in solving for X in the equation derived from the sum of angles?

• Subtract 15 from each term

• Multiply all terms by 6

• Combine like terms

• Divide all terms by 2

If 2X - 15 is one of the angles, what is the value of X when the sum of angles is 360?

• 55

• 60

• 70

• 65

What is the measure of angle A if X equals 65 and angle A is 2X - 15?

• 130 degrees

• 115 degrees

• 100 degrees

• 65 degrees

What is the measure of angle B if it is equal to X and X equals 65?

• 65 degrees

• 130 degrees

• 100 degrees

• 115 degrees