Exploring Angle Pair Relationships

This video tutorial by Mr. Backberg covers special angle relationships, focusing on complementary and supplementary angles. It explains how to identify and calculate these angles, including adjacent and nonadjacent pairs. The tutorial also demonstrates solving algebraic equations to find unknown angle measures. Additionally, it introduces linear and vertical angles, providing examples and explanations for each concept.

What is the sum of two complementary angles?

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Which of the following pairs of angles are complementary?

• 90 degrees and 90 degrees

• 30 degrees and 60 degrees

• 45 degrees and 45 degrees

• 60 degrees and 120 degrees

What is the sum of two supplementary angles?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

If angle A is 47 degrees and angle C is complementary to angle A, what is the measure of angle C?

• 43 degrees

• 47 degrees

• 90 degrees

• 133 degrees

If angle B is 133 degrees and angle C is supplementary to angle B, what is the measure of angle C?

• 47 degrees

• 133 degrees

• 90 degrees

• 180 degrees

Given that angle J is 2y + 28 and angle K is 4y + 26, and they are supplementary, what is the value of y?

• 21

• 18

• 27

• 24

If angle Q is 7x - 10 and angle R is 2x - 8, and they are complementary, what is the value of x?

• 12

• 10

• 16

• 14

What is a linear pair of angles?

• Two angles that add up to 180 degrees and are adjacent

• Two angles that are not adjacent

• Two angles that add up to 90 degrees

• Two angles that are opposite each other

Which of the following pairs of angles are vertical angles?

• Angles 1 and 2

• Angles 2 and 3

• Angles 3 and 5

• Angles 4 and 5

What is the measure of a straight angle?

• 360 degrees

• 45 degrees

• 90 degrees

• 180 degrees