Parallel Perpendicular Lines and Angles

In this figure, angle 1 = 135 degrees
Which of these statements is enough to prove that lines m and n are parallel?

• angle 2 = 45 degrees

• angle 3 = 135 degrees

• angle 8 = 135 degrees

• angle 5 = 135 degrees

What is the measure of ∠6 if the lines are parallel?

• 55

• 155

• 45

• 135

What is the value of x that makes the lines parallel?

• 45

• 20

• 135

• 2

Find the measure of angle 4 that makes the lines parallel

• 27^o

• 153^o

• 63^o

• 90^o

If ∠1 ≅ ∠13, determine which lines, if any, must be parallel.

• r||s

• t||u

• No lines are parallel

• r||s and t||u

If you know that angle 1 ≅ angle 7, how can you prove PQ||RS?

• Converse of corresponding angle theorem

• Converse of alternate interior angles theorem

• Converse of same side interior angles postulate

• Converse of alternate exterior angles theorem

Which condition allows you to prove l∥m?

• ∠7 ≅∠6

• ∠7 ≅∠1

• ∠8 ≅∠2

• ∠7 ≅∠2

If you know that angle 1 ≅ angle 5, how can you prove PQ||RS?

• Converse of corresponding angle theorem

• Corresponding angle theorem

• Vertical angle theorem

• Interior angle theorem

If you know that PQ||RS, how can you prove angle 4 ≅ angle 8

• Converse of corresponding angle theorem

• Corresponding angle theorem

• Vertical angle theorem

• Interior angle theorem