Exploring Angle Relationships

This video tutorial introduces angle pair relationships, focusing on adjacent, vertical, complementary, and supplementary angles. It explains the definitions and properties of each type, providing examples and exercises to reinforce understanding. The tutorial emphasizes the importance of recognizing angle relationships in geometry and solving problems involving angle measurements.

What is the definition of adjacent angles?

• Two angles that share a common side and vertex

• Two angles that are opposite each other

• Two angles that add up to 180 degrees

• Two angles that add up to 90 degrees

Which of the following pairs of angles are adjacent?

• Angles that add up to 180 degrees

• Angles that add up to 90 degrees

• Angles that are across from each other

• Angles that share a common side and vertex

What are vertical angles?

• Angles that add up to 180 degrees

• Angles that share a common side and vertex

• Angles that add up to 90 degrees

• Angles that are opposite each other and congruent

Which of the following is true about vertical angles?

• They add up to 180 degrees

• They are always congruent

• They share a common side and vertex

• They add up to 90 degrees

In parallel lines cut by a transversal, which angles are vertical angles?

• Angles that share a common side and vertex

• Angles that are opposite each other and congruent

• Angles that add up to 90 degrees

• Angles that add up to 180 degrees

If angle 2 is 110 degrees, what is the measure of its vertical angle?

• 180 degrees

• 70 degrees

• 90 degrees

• 110 degrees

What is the sum of complementary angles?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

What is the sum of supplementary angles?

• 360 degrees

• 90 degrees

• 45 degrees

• 180 degrees

If one angle is 35 degrees and the angles are complementary, what is the measure of the other angle?

• 55 degrees

• 35 degrees

• 145 degrees

• 90 degrees

If one angle is 110 degrees and the angles are supplementary, what is the measure of the other angle?

• 90 degrees

• 70 degrees

• 180 degrees

• 110 degrees