Using the interior angle sum theorem for finding x of a pentagon

The video tutorial explains how to calculate the sum of interior angles of a pentagon and solve for an unknown variable X. It begins with an introduction to the properties of a pentagon, followed by a step-by-step calculation of the sum of its interior angles. The tutorial then demonstrates how to set up and solve an equation to find the value of X, using angle measurements and combining like terms. The process is broken down into clear sections, making it easy to follow and understand.

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

• n * 180

• (n-2) * 180

• n * 360

• (n+2) * 180

If a pentagon has two angles of 90 degrees, what is the sum of the remaining angles?

• 180 degrees

• 540 degrees

• 360 degrees

• 270 degrees

How is the unknown angle X expressed in the equation for the pentagon?

• 2X + 10

• X - 10

• X + 10

• 3X - 20

What is the value of X when the equation 5X + 170 = 540 is solved?

• 70

• 74

• 76

• 80

What is the sum of the angles 90, 90, 2X + 10, X, and 2X - 20?

• 540 degrees

• 370 degrees

• 170 degrees

• 270 degrees