Prove Parallel Lines

Which theorem explains why the two lines are parallel?

• Alt. Exterior Angles Thm

• Same Side Int. Angles Post

• Alt. Exterior Angles Converse

• Same Side Int. Angles Converse

Which could be used to prove the lines are parallel?

• Converse of Vertical Angles

• Converse of Alternate Interior Angles Theorem

• Converse of Corresponding Angles Postulate

• Cannot be proved parallel

Which could be used to prove the lines are parallel?

• Converse of Corresponding Angles Postulate

• Converse of Alternate Interior Angles Theorem

• Converse of Linear Pair

• Cannot be proved parallel

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

"If alternate interior angles are congruent, then the lines being cut by the transversal are parallel"

• Alternate Interior Angle Theorem

• Converse of Alternate Interior Angle Theorem

"If alternate exterior angles are congruent,

then the lines are parallel"

• Alternate Exterior Angles Theorem

• Converse of

  Alternate Exterior Angles Theorem

"If two parallel lines are intersected by a transversal, then same side interior angles are supplementary"

• Consecutive Interior Angles Theorem

• Converse of

  Consecutive Interior Angles Theorem

What is the measure of ∠3?

• 55

• 155

• 45

• 135

What is the value of y?

• 29

• 119

• 58

What is the value of x?

• 60

• 26

• 14

• 10