Find the measure of x given using the interior angle theorem

The video tutorial explains how to calculate the sum of interior angles in a quadrilateral. It begins by introducing the concept of a quadrilateral having four sides. The teacher then demonstrates the formula to calculate the sum of interior angles, which is (n-2) * 180 degrees. Using this formula, the sum of the angles is calculated to be 360 degrees. The teacher proceeds to solve an equation to find the value of X, representing one of the angles, by simplifying the equation and performing arithmetic operations. The final value of X is determined to be 45 degrees, concluding the lesson.

What is the sum of the interior angles of a four-sided shape?

• 180 degrees

• 720 degrees

• 360 degrees

• 540 degrees

If a shape has four sides, what is the formula to calculate the sum of its interior angles?

• (n-4) * 180

• (n-1) * 180

• (n-3) * 180

• (n-2) * 180

In the equation 3X + X + 90 + 90 = 360, what does X represent?

• The perimeter of the shape

• The area of the shape

• The measure of an angle

• The length of a side

What is the simplified form of the equation 3X + X?

• 3X

• 4X

• 2X

• 5X

After simplifying the equation 4X + 180 = 360, what is the value of X?

• 30

• 45

• 90

• 60