Understanding Interior Angles of a Quadrilateral

The video tutorial explains how to find the measure of an interior angle in a quadrilateral. It begins by introducing the formula for the sum of interior angles in any convex polygon, which is (n-2) times 180 degrees, where n is the number of sides. For a quadrilateral, n equals 4, so the sum of the interior angles is 360 degrees. The tutorial then demonstrates how to apply this formula to find the missing angle X by setting up and solving the equation X + 96 + 38 + 125 = 360. By simplifying and solving the equation, it is determined that the missing interior angle X measures 101 degrees.

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

• (n-2) times 180 degrees

• n times 180 degrees

• n times 90 degrees

• (n-2) times 90 degrees

In a quadrilateral, what is the value of n used in the formula for the sum of interior angles?

• 6

• 3

• 4

• 5

Which equation represents the sum of the interior angles of the given quadrilateral?

• X + 96 + 38 + 125 = 180

• X + 96 + 38 + 125 = 360

• X + 96 + 38 + 125 = 540

• X + 96 + 38 + 125 = 720

What is the first step to isolate X in the equation X + 259 = 360?

• Multiply both sides by 2

• Add 259 to both sides

• Divide both sides by 2

• Subtract 259 from both sides

What is the measure of the missing interior angle X in the quadrilateral?

• 101 degrees

• 125 degrees

• 38 degrees

• 96 degrees