Understanding Angles: Complementary, Supplementary, and More

The video tutorial explains the concepts of complementary, supplementary, and adjacent angles, providing examples and calculations for each. It also covers how to solve problems involving these angles, including finding unknown angle measures. Additionally, the tutorial discusses identifying linear pairs and vertical angles, and solving related problems.

What is the sum of the measures of two complementary angles?

• 180 degrees

• 90 degrees

• 360 degrees

• 45 degrees

If angle ABC is 28 degrees and angle GEF is 62 degrees, what type of angles are they?

• Supplementary

• Complementary

• Vertical

• Adjacent

How do you find the measure of an angle if its complement is 53 degrees?

• Subtract 53 from 180

• Add 53 to 90

• Add 53 to 180

• Subtract 53 from 90

What is the measure of angle 2 if angle 4 is its supplement and measures 29 degrees?

• 29 degrees

• 151 degrees

• 90 degrees

• 180 degrees

If angle 1 is 7x + 13 degrees and angle 2 is 25x + 7 degrees, what is the value of x if they are supplementary?

• 20

• 15

• 10

• 5

What is the measure of angle 1 if x equals 5 in the expression 7x + 13?

• 50 degrees

• 48 degrees

• 45 degrees

• 35 degrees

Which of the following pairs are vertical angles?

• Angle 1 and Angle 3

• Angle 2 and Angle 3

• Angle 3 and Angle 4

• Angle 1 and Angle 2

What is a characteristic of a linear pair of angles?

• They are equal

• They are supplementary

• They are complementary

• They are vertical

If one angle in a linear pair is 8 times the other, what is the measure of the smaller angle?

• 80 degrees

• 60 degrees

• 20 degrees

• 40 degrees

What is the measure of the larger angle if it is 8 times the smaller angle in a linear pair?

• 140 degrees

• 120 degrees

• 180 degrees

• 160 degrees