Question

1,) Angle 3 is equal to angle

2.) Angle 2 is equal to angle
3.) Angle 7 is equal to angle
4.) Angle 6 is equal to angle

Answer 1

1) angle 5
2) angle 8
3) angle 1
4) angle 4

Answer 2

`\angle 3 \cong \angle 5\\\angle 2 \cong \angle 8\\\angle 7 \cong \angle 1\\\angle 6 \cong \angle 4`, by vertical angles.

Explanation:

Notice that we have to pair of non-parallels lines and a transversal.

Also, you can observe in the image angles 3 and 5, 2 and 8, 7 and 1, 6 and 4, all of these pairs are vertical angles, which means they are congruent by definition.

Therefore, the congruence of each pair are:

`\angle 3 \cong \angle 5\\\angle 2 \cong \angle 8\\\angle 7 \cong \angle 1\\\angle 6 \cong \angle 4`