Understanding Angles and Supplementary Concepts

The video tutorial explains how to find the measure of angle RPS by using the properties of supplementary angles. It starts by introducing the given angle measures, QPR and RPS, and explains that they are supplementary, meaning their sum is 180 degrees. The tutorial then demonstrates how to set up an equation to solve for x, which is used to find the measure of angle RPS. The final calculation shows that angle RPS measures 40 degrees.

What is the expression given for angle QPR?

• x + 22

• x + 122

• 2x + 22

• 2x + 122

What is the expression given for angle RPS?

• 2x + 122

• 2x + 22

• x + 122

• x + 22

What does it mean when two angles are supplementary?

• They add up to 90 degrees

• They are complementary

• They are equal

• They add up to 180 degrees

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

• 2x + 122 = 90

• 4x + 122 = 180

• 4x + 144 = 180

• 2x + 22 = 90

What is the sum of 122 and 22 in the equation?

• 144

• 180

• 150

• 160

What is the value of x after solving the equation?

• 8

• 9

• 11

• 10

What is the next step after finding the value of x?

• Solve for another variable

• Find the measure of both angles

• Find the measure of angle RPS

• Find the measure of angle QPR

What is the measure of angle RPS?

• 30 degrees

• 35 degrees

• 40 degrees

• 45 degrees

How do you calculate the measure of angle RPS using x?

• x plus 122

• x plus 22

• 2 times x plus 122

• 2 times x plus 22

What is the final step in solving the problem?

• Find the measure of angle QPR

• Check if angles are complementary

• Recalculate x

• Verify the solution