Question

PLEASE HELP ME 20 POINTS!!!!!!!!!!! In the plane shown in the figure below, lines land mare cut by the transversal line n. The eight angles at the

intersections of these lines are labeled. Which of the following statements, when it is true, CANNOT always be used
to prove that lines land mare parallel?

Answer 1

Option (4)

Explanation:

Since, lines l and m are the parallel lines and line 'n' is intersecting these parallel lines,

Option (1)

∠c ≅ ∠y

True.

[Corresponding interior angles]

Option (2)

∠a ≅ ∠w

True.

[Corresponding interior angles]

Option (3)

∠b ≅ ∠x

True.

[Corresponding interior angles]

Option (4)

∠b ≅ ∠z

False.

[Since, ∠b + ∠Z = 180°, consecutive exterior angles]

Option (5)

∠a ≅ ∠z

True.

[Alternate exterior angles]

Therefore, Option (4) will be the answer.