Question

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

Answer 1

Answer:

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

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:

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