Answer :

Answer:

  • a, b, d, e

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Part a

Consecutive exterior angles are supplementary.

  • 50° + 130° = 180°

It proves a and b are parallel.

Part b

Corresponding angles are congruent.

  • 85° = 85°

It proves a and b are parallel.

Part c

Given two vertical angles showing the relation between one line and the transversal and not a reason to state the lines are parallel.

Part d

Given two angles of same value. Since they are alternate interior angles, it proves the lines a and b are parallel.

Part e

Given two angles with the sum of 180. They are same side interior angles. It proves the lines a and b are parallel.

Part f

Given two angles of same value. They are alternate exterior angles but in relation to one of the lines and it proves the two transversals are parallel but not the lines a and b.