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

Question

03-11-2022
Mathematics

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

Sagot :

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1)simplify The Expression (2x)^42)the Perimeter Of A Rectangular Is Twice The Sum Of Its Length And Its Width. The Perimeter Is 16 Meters And Its Length Is 2 Me

RyianE107158idn RyianE107158idn · Answer 1 · 2022-11-03T18:55:24-04:00

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).

Sagot :

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