Angle Addition Postulate Applications

The video tutorial explains how to find the measure of angle PMQ using the angle addition postulate. It starts by introducing the angles PMR and QMR, with measures of 65 and 38 degrees, respectively. The tutorial then demonstrates how to apply the angle addition postulate to solve for the unknown angle PMQ by setting up an equation and solving it through subtraction. The final measure of angle PMQ is found to be 27 degrees, showcasing the practical application of the angle addition postulate.

What is the first piece of information given about the angles?

• The sum of angles PMR and QMR

• The measure of angle QMR

• The measure of angle PMQ

• The measure of angle PMR

What is the measure of angle PMR?

• 65 degrees

• 27 degrees

• 90 degrees

• 38 degrees

What is the measure of angle QMR?

• 27 degrees

• 90 degrees

• 38 degrees

• 65 degrees

What is the challenge presented in the video?

• Finding the measure of angle PMQ

• Finding the measure of angle QMR

• Finding the measure of angle PMR

• Finding the sum of angles PMR and QMR

What does the Angle Addition Postulate state?

• The sum of angles in a triangle is 180 degrees

• The measure of an angle is always 180 degrees

• The measure of an angle is equal to the sum of its parts

• The sum of two angles is always 90 degrees

How is the Angle Addition Postulate applied in this problem?

• By subtracting the measure of angle QMR from PMR

• By dividing the measure of angle PMR by QMR

• By adding the measures of angles PMR and QMR

• By equating the sum of angles PMQ and QMR to PMR

What equation is formed to find the measure of angle PMQ?

• PMQ = 38 + 65

• 65 = PMQ - 38

• PMQ = 65 - 38

• 65 = 38 + PMQ

What is the measure of angle PMQ?

• 90 degrees

• 65 degrees

• 38 degrees

• 27 degrees

What is the final step in solving for angle PMQ?

• Multiplying both sides by 38

• Dividing both sides by 38

• Subtracting 38 degrees from both sides

• Adding 38 degrees to both sides

What concept is demonstrated through this problem?

• The Angle Addition Postulate

• The Law of Cosines

• The Law of Sines

• The Pythagorean Theorem