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

A. 180°
B. 15°
C. 75°
D. 105°

B. 15°

Since angles A and C are adjacent angles with a common vertex, their measures must add up to 180°.
Therefore, m-angle A = 180° - m-angle C = 180° - 75° = 105°.

Therefore, the measure of angle A is 105°, not 15°.