Question

In the diagram, the measures of angle 3 and angle 6 are 50 degrees. The measure of angle 5 is 130 degrees. Are lines c and d parallel?
No, because angle 6 and angle 5 are not congruent.

No, because angle 3 and angle 5 are not supplementary.

Yes, because angle 3 and angle 6 are congruent.

Yes, because angle 5 and angle 6 are supplementary.​

Answer 1

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Answer:

  (c)  Yes, because angle 3 and angle 6 are congruent

Step-by-step explanation:

Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.

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We expect angles 5 and 6 to be supplementary because they are a linear pair. That fact says nothing about the relationship of line d to line c.