93.9k views
2 votes
Which pair of angles are alternate exterior angles?

<1 and <8
<1 and <7
<2 and <7
<2 and <9

Which pair of angles are alternate exterior angles? <1 and <8 <1 and &lt-example-1
User Rjrapson
by
4.9k points

2 Answers

4 votes

Answer:

<2 and <7

Explanation:

Because <2 and <6 are equal and <3 and <7 are equal as well means that angles <2 and <7 are alternate exterior angles as well as angles <3 and <6.

User Paul DS
by
4.7k points
5 votes

Answer:

<2 and <7

Explanation:

The alternate exterior angles are those angles that are found by the symmetry that is created between parallel lines.

In the image the angles <2 and <3 are equal because they are opposed by the vertex.

and due to the symmetry of the parallel lines the angle 3 <3 is corresponding to the angle 7 <7 (they measure the same for being on the same side in the lines that are parallel)

This means that consequently, angles <2 and <7 are equal and are alternate exterior angles.

User Rzelek
by
5.9k points