Question

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

A. Angle c is congruent to angle e.
B. The measures of angles a, d, and e sum to 180°.
C. Angles a, b, and c are the interior angles of a triangle.
D. Angle b is congruent to angle e.

Answer 1

d.) Angle B is congruent to angle E

Answer 2

D

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).