Exploring Complementary and Supplementary Angles

This video tutorial covers the concepts of complementary and supplementary angles. It explains that complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees. The video provides examples using right triangles and linear pairs, and includes practice problems to reinforce understanding. Advanced problems are also discussed, focusing on angle relationships and solving systems of equations. The tutorial concludes with a summary of the key concepts.

What is the total degree measure that complementary angles sum up to?

• 360 degrees

• 180 degrees

• 45 degrees

• 90 degrees

If angle ABD is 120 degrees, what is the measure of angle CBD given they are supplementary?

• 60 degrees

• 30 degrees

• 120 degrees

• 180 degrees

How do you find the supplement of a 55 degree angle?

• Subtract from 180

• Add up to 180

• Subtract from 90

• Multiply by 2

What is the complement of a 64 degree 26 minutes 37 seconds angle?

• 55 degrees 34 minutes 23 seconds

• 64 degrees 26 minutes 37 seconds

• 25 degrees 33 minutes 23 seconds

• 90 degrees

In a scenario where one of two complementary angles is 20 degrees larger than the other, what are their measures?

• 35 degrees and 55 degrees

• 30 degrees and 60 degrees

• 40 degrees and 50 degrees

• 20 degrees and 70 degrees

For two angles in a 2:3 ratio that are complementary, what is the measure of the larger angle?

• 60 degrees

• 36 degrees

• 54 degrees

• 45 degrees

If one of two supplementary angles is 12 more than three times the other, what is the measure of the smaller angle?

• 45 degrees

• 138 degrees

• 90 degrees

• 42 degrees

The supplement of an angle is four times the complement of the angle. What is the measure of the angle?

• 60 degrees

• 90 degrees

• 30 degrees

• 120 degrees

What is the supplement of a 30 degree angle?

• 90 degrees

• 120 degrees

• 60 degrees

• 150 degrees

If angle A is the complement of angle B, and angle A measures 40 degrees, what is the measure of angle B?

• 50 degrees

• 40 degrees

• 90 degrees

• 140 degrees