Exploring Angle Pairs and Their Relationships

This video tutorial introduces the concept of angles, focusing on different types and pairs of angles. It covers vertical angles, consecutive adjacent angles, and angles around a point, providing proofs and examples. The tutorial also explains complementary, supplementary, adjacent, linear pairs, and vertical angles, concluding with practice problems to reinforce understanding.

What is the measure of a straight angle?

• 90 degrees

• 180 degrees

• 360 degrees

• 45 degrees

What is the relationship between vertical angles?

• They are always congruent

• They are always adjacent

• They are always complementary

• They are always supplementary

If two angles are vertical and one measures 50 degrees, what is the measure of the other angle?

• 50 degrees

• 180 degrees

• 130 degrees

• 90 degrees

What is the sum of consecutive adjacent angles on a straight line?

• 45 degrees

• 180 degrees

• 90 degrees

• 360 degrees

If a straight angle is divided into three parts measuring 45 degrees, 60 degrees, and x degrees, what is the value of x?

• 75 degrees

• 85 degrees

• 65 degrees

• 55 degrees

What is the sum of all angles around a single point?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

Which of the following pairs of angles are complementary?

• Two angles that sum to 180 degrees

• Two angles that sum to 90 degrees

• Two angles that are adjacent

• Two angles that are vertical

What defines a linear pair of angles?

• Two angles that are adjacent and form a straight line

• Two angles that sum to 90 degrees

• Two angles that are vertical

• Two angles that are complementary

If two angles are supplementary and one measures 120 degrees, what is the measure of the other angle?

• 90 degrees

• 180 degrees

• 120 degrees

• 60 degrees

Which of the following is true about adjacent angles?

• They always sum to 180 degrees

• They share a common vertex and side

• They are always congruent

• They always sum to 90 degrees