Exploring the Angle Addition Postulate with Examples

The video tutorial introduces the angle addition postulate, explaining its concept and application. It compares the postulate to the segment addition postulate and provides examples to illustrate how to solve for missing angles. The tutorial includes both basic and algebraic examples, emphasizing the importance of setting up equations correctly and verifying solutions.

What does the Angle Addition Postulate assume you have?

• A segment

• A point

• An angle

• A line

What is the purpose of the point in the interior of the angle in the Angle Addition Postulate?

• To create a new angle

• To find the midpoint of the angle

• To divide the angle into two smaller angles

• To measure the angle

What should you not assume about the ray that divides the angle?

• That it is parallel

• That it is perpendicular

• That it is a tangent

• That it is an angle bisector

What is the correct notation to use when referring to the measure of an angle?

• Using a lowercase letter

• Using a lowercase 'm'

• Using a capital letter

• Using a number

According to the Angle Addition Postulate, the measure of the whole angle is equal to:

• The sum of the measures of the two smaller angles

• The quotient of the measures of the two smaller angles

• The product of the measures of the two smaller angles

• The difference of the measures of the two smaller angles

In the first example, if the measure of angle TMS is 12 degrees and the measure of angle LMT is 39 degrees, what is the measure of angle LMS?

• 27 degrees

• 12 degrees

• 39 degrees

• 51 degrees

In the first example, what equation is set up to find the measure of angle LMS?

• LMS - SMT = LMT

• LMS / SMT = LMT

• LMS + SMT = LMT

• LMS * SMT = LMT

In the second example, if the measure of angle MNP is 3x and the measure of angle PNR is 2x - 6, what is the measure of angle MNR?

• 5x + 6

• 3x - 2x + 6

• 3x + 2x - 6

• 5x - 6

In the second example, if x is found to be 10, what is the measure of angle MNP?

• 50 degrees

• 30 degrees

• 20 degrees

• 40 degrees

In the second example, if x is found to be 10, what is the measure of angle PNR?

• 30 degrees

• 14 degrees

• 20 degrees

• 24 degrees