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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.

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 su class=

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mt1943
d.) Angle B is congruent to angle E
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Answer:

D

Step-by-step explanation:

A) True. Alternate interior angles are congruent so

[tex]\angle c\cong \angle e[/tex]

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

[tex]\angle a+\angle e+\angle d=180[/tex]

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).

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