Question

1. in the figure shown, lines f and g are parallel. select the angle that is congruent to angle 1.

a. angle 2
b. angle 6
c. angle 7
d. angle 8

Explanation:

When two parallel lines (f and g) are cut by a transversal, corresponding angles are congruent. Angle 1 and Angle 6 are corresponding angles (they occupy the same relative position at each intersection of the transversal with the parallel lines), so they are congruent. Angle 2 is supplementary to Angle 1 (linear pair), Angle 7 is not in a corresponding or alternate - interior/exterior relationship with Angle 1 that would make them congruent, and Angle 8 is supplementary to Angle 6 (and thus not congruent to Angle 1 in the same way).

Answer:

b. Angle 6