Question

Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer.A. right angle 3 is congruent to right angle 7B. m right angle 7 + m right angle 12 = 180

Answer 1

Situation A.

Angle 3 is congruent with angle 7.

That means that line a and b are parallel, because: Angle 3 and Angle 5 are vertical angles, and if Angle 3 is congruent with Angle 7, then Angle 5 is also congruent with Angle 7, therefore, the lines a an b are parallel.

Situation B.

Angle 7 is supplementary of Angle 12.

Angle 12 is supplementary to Angle 13.

Then Angle 13 and Angle 7 are congruent.

Then a and b are parallel and l and m are parallel.