Exploring the Vertical Angle Theorem

This video tutorial from YourTeacher.com demonstrates how to solve a geometry problem involving vertical angles. The problem requires finding the value of x and the measures of angles POS and QOR using a given diagram. The tutorial explains that since angles POS and QOR are vertical angles, their measures are equal. An equation is set up and solved to find x, and then the measures of the angles are calculated by substituting x back into the expressions for the angles.

What is the name of the platform mentioned in the video?

• MathHelp.com

• MathTutor.com

• YourTeacher.com

• LearnMath.com

What are the two angles mentioned in the problem?

• Angle A and Angle B

• Angle X and Angle Y

• Angle POS and Angle QOR

• Angle PQR and Angle QOS

What type of angles are POS and QOR?

• Adjacent angles

• Complementary angles

• Supplementary angles

• Vertical angles

What is the equation set up to find the value of x?

• 2x + 5 = 7x + 50

• 2x - 5 = 7x - 40

• 2x + 5 = 7x - 40

• 2x + 5 = 7x + 40

What is the first step in solving the equation 2x + 5 = 7x - 40?

• Add 2x to both sides

• Subtract 2x from both sides

• Add 5 to both sides

• Subtract 5 from both sides

What is the value of x after solving the equation?

• 10

• 8

• 9

• 7

What is the measure of angle POS after finding x?

• 20 degrees

• 21 degrees

• 22 degrees

• 23 degrees

What is the measure of angle QOR?

• 20 degrees

• 21 degrees

• 22 degrees

• 23 degrees