Two intersecting lines create four angles with the same vertex, labeled A, B, C, and D. Angle B is adjacent to ∠A and ∠C. Find m∠A if m∠C=75°.

A. 105°

B. 15°

C. 75°

D. 180°

1 answer

Since angle A and angle C are adjacent and angle C is 75°, angle A must be supplementary to angle C. Therefore, angle A must be equal to 180° - 75° = 105°.

Therefore, the answer is A. 105°.