Understanding Interior Angles of a Quadrilateral

The video tutorial explains how to find the measure of a missing angle in a quadrilateral. It begins by introducing the concept and then explains the formula for calculating the sum of interior angles in polygons. The tutorial demonstrates how a quadrilateral can be divided into two triangles, each with a sum of 180°, to find the total sum of 360° for the quadrilateral. Finally, it sets up an equation to solve for the missing angle X, showing step-by-step calculations to arrive at the solution of 83°.

What is the formula to find the sum of interior angles of a polygon with n sides?

• n * 360°

• (n - 2) * 180°

• (n + 2) * 180°

• n * 180°

How many degrees is the sum of the interior angles of a quadrilateral?

• 720°

• 180°

• 360°

• 540°

How can a quadrilateral be divided to help find the sum of its interior angles?

• Into a pentagon

• Into four triangles

• Into three triangles

• Into two triangles

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

• 360°

• 90°

• 180°

• 270°

Which angle is known to be a right angle in the given problem?

• Angle X

• 75°

• 112°

• 90°

What is the equation set up to find the missing angle X?

• X + 112 + 90 + 75 = 360

• X + 112 + 90 = 360

• X + 112 + 75 = 360

• X + 90 + 75 = 360

What is the sum of the known angles in the equation before solving for X?

• 277

• 360

• 112

• 180

What operation is performed to isolate X in the equation?

• Addition

• Subtraction

• Multiplication

• Division

What is the value of the missing angle X?

• 75°

• 90°

• 112°

• 83°

What is the final step to find the measure of angle X?

• Divide 360 by 277

• Subtract 277 from 360

• Add 277 to 360

• Multiply 277 by 360