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Gelneren [198K]
3 years ago
7

Using the figure above, which theorem can you prove that m∠1 = m∠2? explain your answer.​

Mathematics
1 answer:
storchak [24]3 years ago
6 0

Answer:

<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>

Step-by-step explanation:

Start by stating that the given angles are congruent.

Call the angle vertical to angle 1 "angle 3."

Then angle 3 and angle 1 are congruent by vertical angles.

Angle 3 and angle 2 are congruent by transitive congruence of angles.

That makes lines u and v parallel by congruent corresponding angles of two lines and a transversal.

Answer

You can prove the following theorem:

<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>

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