Angle Relationships and Reasoning

The video tutorial covers various angle reasoning techniques, including supplementary, vertical, alternate interior, alternate exterior, and corresponding angles. It provides examples to practice these concepts, such as calculating angles in a bench setup and proving the sum of angles in a triangle. The tutorial emphasizes understanding and applying angle relationships in geometry.

What is the initial angle measure given for angle 4 in the practice setup?

• 13°

• 10°

• 15°

• 20°

Which type of angle reasoning is used first in the practice exercise?

• Vertical angles

• Supplementary angles

• Corresponding angles

• Alternate interior angles

What is the angle measure of angle 2 if angle 4 is 13° using vertical angles?

• 52°

• 39°

• 13°

• 26°

Which angle reasoning type is used to find that angle 7 is equal to angle 2?

• Alternate exterior angles

• Supplementary angles

• Alternate interior angles

• Vertical angles

What is the sum of angles 3 and 5 using consecutive interior angles?

• 180°

• 90°

• 120°

• 150°

Which angles are used as corresponding angles in the practice exercise?

• Angle 5 and angle 6

• Angle 3 and angle 8

• Angle 4 and angle 1

• Angle 2 and angle 7

What is the measure of angle 6 using alternate interior angles?

• 180°

• 13°

• 45°

• 167°

In the example problem, what is the measure of angle 2 if angle 1 is 148°?

• 148°

• 90°

• 32°

• 180°

What is the measure of angle 3 if angle 2 is 148° and they are supplementary?

• 90°

• 180°

• 148°

• 32°

In the second example, what is the relationship between angles 3, 4, and 5?

• They are all equal

• They are supplementary

• They are alternate interior angles

• They add up to 180°