Question

In the figure, transversal t intersects the parallel lines a and b.


(This is where the screenshot would be). The theorem by which they are congruent is the

(a) alternate exterior angles theorem
(b) alternate interior angles theorem
(c) vertical angles theorem
d) same side interior angles theorem

Answer 1

Lines a and b are parallel, and line t is a transversal.
Notice that angles 2 and 7 are on the outside of the parallel lines, and they are on different sides of the transversal.
Angles 2 and 7 are alternate exterior angles.

The answer is (a) alternate exterior angles theorem.

It is by the "alternate exterior angles theorem" that angles 2 and 7 are congruent.

Answer 2

IT is "alternate exterior angles theorem" that ∠2 and ∠7 are congruent. The answer is option (a).

In the figure, transversal t intersects the parallel lines a and b.

What are parallel lines?

The parallel lines are those lines that never intersect at any point.

In the given figure;

∠2 and ∠7 are on the outside of the parallel lines, and they are on different sides of the transversal.

WE can see that ∠2 and ∠7 are alternate exterior angles.

The answer is option (a) alternate exterior angles theorem.

Hence, IT is "alternate exterior angles theorem" that ∠2 and ∠7 are congruent.

Learn more about parallel lines here:

https://brainly.com/question/13857011

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