a student was given the following daigram and asked to prove that <1= <2 what would be the reason for the final step in the proof given line A and Line B are parallel prove <1=<2

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13-07-2022
Mathematics

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a student was given the following daigram and asked to prove that <1= <2 what would be the reason for the final step in the proof given line A and Line B are parallel prove <1=<2

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-07-14T19:59:09+02:00

The correct option based on the paralel line given is that the corresponding angles are congruent.

How to illustrate the information?

Given that a student was told to consider the diagram and asked to prove that angle 1 ≅ angle 2.

We are to find the reason for the second step in the following proof. Since lines A and B are parallel and cut by a transversal, so angles 1 and 3 are corresponding angles. That is, ∠1. ≅ ∠3

Also, angles 2 and 3 are vertically opposite angles, so ∠2 ≅ ∠3.

And, therefore we get ∠1 ≅ ∠2.

Thus, the reason in the second step will be angles 1 and 3 are corresponding angles and corresponding angles are congruent.

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