Missing Angle Measurements and Concepts

The video tutorial explains how to decompose angles into non-overlapping parts. It begins with an introduction to the concept and the learning goals. The teacher then provides three examples, each demonstrating how to find a missing angle part by subtracting known angle measures from the total angle. The examples cover angles of 55°, 150°, and 76°. The video concludes with practice problems for students to solve on their own.

What is the main goal when decomposing an angle?

• To find the sum of the parts

• To find the difference between the parts

• To divide the parts

• To multiply the parts

If a whole angle is 55° and one part is 30°, what is the measure of the missing part?

• 20°

• 25°

• 30°

• 35°

In the first example, what operation is used to find the missing angle?

• Addition

• Multiplication

• Subtraction

• Division

What is the measure of the missing angle if the whole angle is 150° and one part is 32°?

• 118°

• 120°

• 122°

• 124°

In the second example, what is the first step to find the missing angle?

• Divide the whole angle by the known angle

• Multiply the known angle by the whole angle

• Subtract the known angle from the whole angle

• Add the known angle to the whole angle

If the whole angle is 76° and one part is 35°, what is the measure of the missing part?

• 43°

• 45°

• 39°

• 41°

In the third example, what is the total angle given?

• 72°

• 76°

• 70°

• 74°

What is the missing angle if the whole angle is 76° and one part is 35°?

• 41°

• 42°

• 40°

• 43°

What should you do if you know the whole angle and one part of it?

• Divide the whole angle by the known part

• Multiply the known part by the whole angle

• Subtract the known part from the whole angle

• Add the known part to the whole angle

What is the sum of the parts of an angle equal to?

• The difference of the parts

• The product of the parts

• The whole angle

• The quotient of the parts