Exploring the Angle Addition Postulate

The video tutorial introduces the angle addition postulate, explaining how to calculate the measure of an entire angle by summing the smaller angles within it. It covers the notation used for angle measurements and provides guidance on labeling angles in diagrams. The tutorial includes practice problems to reinforce understanding, progressing from basic to advanced examples, including algebraic expressions. The video emphasizes the importance of reading diagrams accurately and using the angle addition postulate effectively.

What does the Angle Addition Postulate state?

• The measure of an angle is always less than the sum of its parts.

• The measure of an angle is always greater than the sum of its parts.

• The sum of the measures of two angles is always 180 degrees.

• If a point lies inside an angle, the sum of the measures of the two smaller angles equals the measure of the larger angle.

When referring to an angle's measurement in degrees, what should be placed in front of the angle symbol?

• A lowercase m

• A capital M

• An arc symbol

• A degree symbol

How do you label an angle with its measurement in a diagram?

• Place the measurement at the midpoint of the angle.

• Place the measurement outside the angle.

• Place the measurement at the vertex of the angle.

• Place the measurement at the end of the angle.

Which angle has a measure of 48 degrees in the given example?

• Angle wxy

• Angle yxz

• Angle zxy

• Angle wxz

What is the measure of angle pqr if angle pqs is 55 degrees and angle rqs is 21 degrees?

• 82 degrees

• 21 degrees

• 55 degrees

• 76 degrees

If angle jkm is 62 degrees and angle mkl is 74 degrees, what is the measure of angle jkl?

• 148 degrees

• 62 degrees

• 136 degrees

• 74 degrees

How do you find the measure of angle deg if angle gef is 26 degrees and angle def is 79 degrees?

• Add 26 and 79

• Multiply 26 and 79

• Subtract 26 from 79

• Divide 79 by 26

What is the measure of angle rsu if angle ust is 74 degrees and angle rst is 148 degrees?

• 222 degrees

• 148 degrees

• 74 degrees

• 74 degrees and 148 degrees

What should you do if a diagram looks like a right angle but the instructions say it is 91 degrees?

• Use the given information and not assumptions

• Ignore the instructions

• Assume it is a right angle

• Use a protractor to measure it

If 15x - 4 + 4x = 91 degrees, what is the value of x?

• 4

• 5

• 6

• 7