Decomposing and Composing Angles

The video tutorial simplifies the concept of decomposing and composing angles by breaking down complex mathematical terms into simpler language. It provides examples of how angles can be split into smaller parts or combined into larger ones, ensuring that the sum of the parts equals the whole when they do not overlap. The tutorial includes practical problems to reinforce the concepts, such as calculating missing angles in various scenarios. By the end, viewers will have a better understanding of how to manipulate angles through addition and subtraction.

What does it mean to decompose an angle?

• To break an angle into smaller parts

• To draw an angle

• To add angles together

• To measure an angle

If angle ABC is 90 degrees and angle ABE is 30 degrees, what is the measure of angle EBC?

• 60 degrees

• 30 degrees

• 45 degrees

• 90 degrees

Which of the following decompositions of a 90-degree angle is incorrect?

• 30 + 30 + 30

• 66 + 24

• 145 + 45

• 45 + 45

How do you find the measure of angle ADC if angles ADB and BDC are 38 and 14 degrees respectively?

• Divide the angles

• Multiply the angles

• Add the angles

• Subtract the angles

Chen's angle ADC is 173 degrees, and angle CDB is 41 degrees. What is the measure of angle ADB?

• 132 degrees

• 41 degrees

• 173 degrees

• 90 degrees

If a rectangle's corner is 90 degrees and one angle is 23 degrees, what is the missing angle?

• 45 degrees

• 90 degrees

• 23 degrees

• 67 degrees

A clam opens at 67 degrees and closes to 25 degrees. By how much did it close?

• 42 degrees

• 25 degrees

• 67 degrees

• 90 degrees