Using the interior angle sum theorem to find x of a quadrilateral

The video tutorial explains how to determine the sum of angles in a quadrilateral, which is 360 degrees. The teacher sets up an equation using the measures of four angles, combines like terms, and solves the equation to find the value of X. The process involves basic algebraic operations and emphasizes the importance of understanding the setup of equations in geometry.

What is the sum of all angles in a quadrilateral?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

If angle 1 is X + 10 and angle 2 is 3X - 6, what is the expression for the sum of these two angles?

• 4X + 4

• X + 4

• 3X + 4

• 4X - 4

How do you combine the terms 4X, 2X, and X?

• 7X

• 6X

• 8X

• 5X

What is the next step after combining like terms in the equation 7X - 4 = 360?

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 7

• Divide both sides by 7

What is the value of X when you solve the equation 7X = 364?

• 52

• 53

• 51

• 50