Crook Problems and Angle Relationships

The video tutorial introduces crook problems, which involve parallel lines with a kink. It explains how to solve for a missing angle by drawing a third parallel line and using angle types like congruent and supplementary. The tutorial includes practice problems and a challenge problem to reinforce understanding.

What is a crook problem primarily concerned with?

• Finding the length of a line segment

• Determining the volume of a cube

• Solving for a missing angle

• Calculating the area of a triangle

What is the key step in solving a crook problem?

• Drawing a circle

• Drawing a diagonal line

• Drawing a third parallel line

• Drawing a perpendicular line

What type of angles are on the same side of the transversal and interior?

• Alternate interior angles

• Corresponding angles

• Same side interior angles

• Vertical angles

What is the relationship between same side interior angles?

• They are equal

• They are congruent

• They are supplementary

• They are complementary

What is the relationship between angles on the same side of the transversal?

• They are complementary

• They are equal

• They are congruent

• They are supplementary

What is the property of alternate interior angles?

• They are congruent

• They are equal

• They are supplementary

• They are complementary

How do you find the measure of an angle in a crook problem?

• By subtracting the angles

• By adding the angles

• By dividing the angles

• By multiplying the angles

What is the measure of an angle if it is made up of 80° and 15°?

• 85°

• 95°

• 90°

• 100°

In a practice problem, if one angle is 40° and another is 30°, what is the measure of the angle formed?

• 60°

• 90°

• 70°

• 80°

What is the measure of angle X if the angles are supplementary and one is 40°?

• 120°

• 140°

• 80°

• 40°