Consider parallel lines cut by a transversal. Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.

The alternate exterior angles 2 and 7 are congruent. One way to prove this is through the corresponding angles, vertical angles, and the transitive property.

First, we know <2 and <6 are congruent because of corresponding angles. Then we know they are equal because of the definition of congruent.

Next, we know <6 is congruent to <7 because of vertical angles. Then, we know they are equal because of the definition of congruent.

Finally, we know <2 is equal to <7 because of the transitive property.

Here's the sample response!!

Step-by-step explanation:

Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.

answer: c

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a c

step-by-step explanation: