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Given angle 1 and angle 2 are supplementary. Prove p is parallel to q.

Given Angle 1 And Angle 2 Are Supplementary Prove P Is Parallel To Q class=

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ANSWER:

STEP-BY-STEP EXPLANATION:

We have that angle 1 and angle 2 are supplementary, thanks to the theorem that states that 2 adjacent angles whose exterior rays form a line are supplementary.

From the above we can determine that angles 2 and 3 are equal. (consecutive interior angles). Due to the above, angles 1 and 3 are equal, by transitive property.

We also have to angle 1 = angle 3 (corresponding angles).

If 2 lines are cut by a transversal so that corresponding angles are congruent (angle 1 and angle 3), then the lines are parallel (corresponding converse theorem).

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