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Helppppp this dont make any sense rk me geometry proofs

Helppppp this dont make any sense rk me geometry proofs-example-1
User Verbanicm
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1 Answer

3 votes

Answer:

D) same side interior angles are supplementary

Explanation:

In the attachment, yellow is what we're given and need to prove.

Green are the 2 angles that are congruent.

Blue are the 2 angles that we are given that are supplementary, with the reason that 2 angles forming a linear pair sum to 180 degrees.

Red are the 2 angles that are supplementary also, but have to find the reaosn.

We can use process of elimination as one way.

Option A is incorrect because we can see that the red angles aren't vertical.

Option B and C are incorrect because the statement isn't asking for congruency, it's asking for supplementary angles.

Option D is correct because it has to do with supplementary angles.

Also, these 2 angles are supplementary because they are same side interior angles with a transversal cutting through the 2 parallel lines.

Thus, option D is correct.

Hope this helps! :)

Helppppp this dont make any sense rk me geometry proofs-example-1
User Kyndigs
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8.4k points