Parallel Line Theorems and Converse

How big is angle x?

• 138

• 180

• 32

• 42

Given this diagram, what knowledge of angles should you use to solve for x?

• Corresponding angles are the same size

• Vertically opposite angles are the same size

• Interior angles add to 180

• Angles on a straight line add to 180

• Alternate angles are the same

Parallel lines cut by a transversal form 2 of the angles listed. Choose the angle that does NOT belong.

• 140

• 50

• 40

• Converse of the Alternate Exterior Angles Theorem

• Converse of the Alternate Interior Angles Theorem

• Alternate Interior Angles Theorem

• Converse of the Corresponding Angles Postulate

Given congruent angles, we use _______________ to prove lines parallel.

• Theorems and Postulates

• Converse Theorems

Given parallel lines we would use_______________ to prove angles congruent.

• Converse Theorems

• Theorems and Postulates.

• x = 4

• x= 2

• x = 3

• x = 10

Which statement would be the correct "reason" for line 2.a.

• Given

• Def. of Supplementary

• Alternate Interior Angles Theorem

Which reason would be correct for line 5. c?

• Linear Pair Theorem