Question

5. If p || q, which pair of angles must be congruent?

1 and 8

2 and 5

4 and 6

7 and 8

Answer 1

1 and 8.

Explanation:

Two angles will be congruent if both measure the same. Then, as p is parallel to q we have that the alternate external angles (pair of angles out of the parallel lines, one on the right of the transversal line and the other on the left of the transversal line) has the same measure. In this case, 1 and 8 are alternate external angles.

Answer 2

I think the correct answer from the choices listed above is the first option. If p || q, the pair of angles that must be congruent would be angles 1 and 8. These angles are called alternate exterior angle. The pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.