Parallel Line Cut by a Transversal

For each question, use the reference sheet given for the diagram. Are ∠2 and ∠7 congruent to each other?

• No, they are complementary angles.

• Yes, they are alternate interior angles.

• Yes, they are consecutive interior angles. (same side)

• No, they are supplementary angles.

For each question, use the reference sheet given for the diagram. Which two angles are alternate exterior?

• ∠5 and ∠6

• ∠1 and ∠8

• ∠1 and ∠3

• ∠2 and ∠7

For each question, use the reference sheet given for the diagram. Which line is the transversal?

• Line a

• Line b

• Line t

• None of the lines

Answer explanation

The transversal is the line that's passing (intersecting) the parallel lines.

For each question, use the reference sheet given for the diagram. If ∠6 measures 106◦, what is the m∠7?

• m∠7 = 74◦

• m∠7 = 106◦

• m∠7 = 90◦

• m∠7 = 180◦

Answer explanation

∠6 & ∠7 are supplementary so you need to subtract the given angle from 180 to find m∠7.

What is the measure of x?

What is the Angle Relationship

• Alternate Interior

• Alternate Exterior

• Corresponding

• Same Side-Interior

What is the Angle Relationship? 

• Alternate Interior

• Alternate Exterior

• Corresponding

• Same Side Interior

WHAT IS THE VALUE OF X?

• 16

• 11.4

• 0 

• -16

For each question, use the reference sheet given for the diagram. What is the vertical angle of ∠4?

• ∠3

• ∠1

• ∠2

• ∠7