Exploring Parallel Lines and Transversals

What is the relationship between corresponding angles when two lines are parallel?

• Supplementary

• Congruent

• Complementary

• None of the above

Which theorem states that alternate interior angles are congruent when lines are parallel?

• Linear Pair Postulate

• Consecutive Interior Angles Theorem

• Alternate Interior Angles Theorem

• Corresponding Angles Theorem

What is the sum of consecutive interior angles when cut by a transversal across parallel lines?

• None of the above

• 360 degrees

• 180 degrees

• 90 degrees

Which angles are always congruent regardless of whether lines are parallel?

• Alternate exterior angles

• Corresponding angles

• Consecutive interior angles

• Vertical angles

Using the Linear Pair Postulate, what is the relationship of angles in a linear pair?

• Supplementary

• Independent

• Congruent

• Complementary

If angle 1 is 120 degrees in a parallel line setup, which theorem helps find the measure of angle 8?

• Consecutive Interior Angles Theorem

• Alternate Exterior Angles Theorem

• Corresponding Angles Theorem

• Vertical Angles Theorem

In a scenario with parallel lines, if angle 2 is 75 degrees, what is the measure of angle 7 using the Alternate Interior Angles Theorem?

• None of the above

• 75 degrees

• 105 degrees

• 180 degrees

How do you determine the value of x when angles are set as 21x + 4 and 22x - 2 and are congruent?

• None of the above

• Multiply the equations

• Subtract one equation from the other

• Add the equations

What is the measure of angle 4 if it forms a linear pair with another angle measured at 115 degrees?

• 65 degrees

• None of the above

• 115 degrees

• 180 degrees

When angle 1 is 44 degrees and forms an alternate interior angle with 7x + 9, what is the value of x?

• 5

• 11

• 7

• 9