Understanding Angles and Their Measures

Sarah, a math teacher, explains additive angles using two example problems. First, she demonstrates how to find the measure of angle ABC by adding two smaller angles, ABD and DBC, resulting in an obtuse angle of 102 degrees. In the second example, she shows how to find the measure of angle WXY by subtracting a known angle, YXZ, from the total angle WXZ, resulting in 23 degrees. The lesson uses strip diagrams to model the problems and emphasizes understanding the concept of additive angles.

What is the main topic of Sarah's lesson?

• Subtraction of angles

• Multiplication of angles

• Division of angles

• Additive angles

Which angle is Sarah trying to measure in the first example?

• Angle BCD

• Angle ABC

• Angle DBC

• Angle ABD

What type of angle is angle ABC?

• Acute angle

• Right angle

• Obtuse angle

• Straight angle

What are the two parts that make up angle ABC?

• 45 degrees and 45 degrees

• 30 degrees and 60 degrees

• 50 degrees and 50 degrees

• 48 degrees and 54 degrees

How do you find the measure of angle ABC?

• By subtracting the two parts

• By adding the two parts

• By multiplying the two parts

• By dividing the two parts

What is the measure of angle ABC?

• 110 degrees

• 102 degrees

• 100 degrees

• 90 degrees

What is the total measure of angle WXZ in the second example?

• 39 degrees

• 54 degrees

• 23 degrees

• 62 degrees

Which part of angle WXZ is unknown?

• Angle WXZ

• Angle XYZ

• Angle YXZ

• Angle WXY

What is the measure of angle YXZ?

• 62 degrees

• 23 degrees

• 54 degrees

• 39 degrees

How do you find the measure of angle WXY?

• By dividing the total by the known part

• By adding the two parts

• By subtracting the known part from the total

• By multiplying the two parts