Exploring Angle Pair Relationships in Geometry

This video tutorial covers important angle pair relationships, including adjacent, linear pair, vertical, complementary, and supplementary angles. It begins with defining these terms and then applies them to solve various problems, including algebraic and word problems. The tutorial emphasizes understanding the properties of these angle pairs and how to use them in problem-solving scenarios.

What do adjacent angles share?

• A common side and vertex but do overlap

• A common side and vertex but don't overlap

• Only a common side

• Only a common vertex

What is a linear pair?

• Two angles that add up to 180 degrees

• Two adjacent angles that form a straight line

• Two angles that are across from each other

• Two angles that add up to 90 degrees

What are vertical angles?

• Two angles that are across from each other and are congruent

• Two angles that add up to 90 degrees

• Two angles that add up to 180 degrees

• Two adjacent angles that form a straight line

What do complementary angles add up to?

• 180 degrees

• 90 degrees

• 45 degrees

• 360 degrees

What do supplementary angles add up to?

• 90 degrees

• 180 degrees

• 45 degrees

• 360 degrees

In a linear pair, if one angle is 3x - 6 and the other is 2x + 16, what is the value of x?

• 34

• 30

• 28

• 32

If two angles are complementary and one angle is x + 9 and the other is 2x, what is the value of x?

• 27

• 30

• 25

• 20

If two angles are vertical angles and one is 42 degrees, what is the measure of the other angle?

• 36 degrees

• 54 degrees

• 48 degrees

• 42 degrees

If two angles are complementary and one angle is six degrees less than twice its complement, what is the measure of the smaller angle?

• 30 degrees

• 28 degrees

• 36 degrees

• 32 degrees

If two angles are supplementary and one angle is 44 degrees more than its supplement, what is the measure of the larger angle?

• 116 degrees

• 108 degrees

• 112 degrees

• 120 degrees