Question

The diagram shows two parallel lines cut by two transversals. Which statement is NOT true?

Answer 1

Answer:

D

Step-by-step explanation:

A) True. Alternate interior angles are congruent so

$\angle c\cong \angle e$

B) True. Considering the sum of these three angles is equal to a straight angle. Since ∠a+∠d  supplementary to ∠e

$\angle a+\angle e+\angle d=180$

C) True. Since the line segments form a triangle having a (black) line as triangle base.

D) False. ∠b is congruent to its corresponding angle, and ∠e is not its corresponding angle. The corresponding angle of ∠b is the angle vertex opposed to ∠d (not identified).

Answer 2

D.) Angle B is congruent to angle E