Proving two lines are parallel by corresponding angles

The video tutorial explains how to determine if two lines are parallel using the theorem of consecutive angles. It demonstrates that when consecutive angles are equal, the lines are parallel. The tutorial includes a step-by-step calculation to find the value of X that makes the angles equal, confirming the lines are parallel.

What is the relationship between consecutive angles and parallel lines?

• If consecutive angles are equal, the lines are parallel.

• If consecutive angles are supplementary, the lines are parallel.

• Consecutive angles are always equal.

• Consecutive angles are always supplementary.

In the example, what angle is equated to the expression 5X - 20?

• 45 degrees

• 90 degrees

• 60 degrees

• 120 degrees

What is the first step in solving the equation 90 = 5X - 20?

• Add 20 to both sides

• Subtract 20 from both sides

• Multiply both sides by 5

• Divide both sides by 5

What is the value of X when the angles are equal?

• 20

• 24

• 22

• 18

Why are the lines parallel when X equals 22?

• Because the angles are alternate interior angles

• Because the angles are supplementary

• Because the angles are equal

• Because the angles are complementary