The figure shown has two parallel lines cut by a transversal: Which angle is an alternate exterior angle to ∠7?

Question

The figure shown has two parallel lines cut by a transversal:

Which angle is an alternate exterior angle to ∠7?

1. ∠2 
2. ∠1 
3. ∠5 
4. ∠8

Answer 1

The exterior angles in the figure are

1. the top angles ∠1 and ∠2 and
2. the bottom angles ∠7 and ∠8

Alternate exterior angles in the figure are pairs that can be described as

1. top left and bottom right
2. bottom left and top right

Since ∠7 is bottom right, the alternate exterior angle to ∠7 is top left.

I'll leave it to you — or, as often happens, another tutor ;-) — to choose this angle.

Hope this helps. Leave a comment if you have any questions.

Answer 2

Alternate exterior angles are angles which are on opposite sides of the transversal from one another, and which are both outside of the two parallel lines (as opposed to being situated in between the two lines).

Use this information and my answer to your other question to inform your answer.