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°.(1 point)
Responses
75°
75 degrees
180°
180 degrees
15°
15 degrees
105°
The sum of angles adjacent to angle B is equal to 180 degrees. Angle C is adjacent to angle B, so m∠C + m∠B + m∠A = 180°. Since m∠C = 75°, we can substitute this value into the equation:
75° + m∠B + m∠A = 180°
Now, we can solve for m∠A by rearranging the equation:
m∠A = 180° - 75° - m∠B
Therefore, the answer is 180° - 75° - m∠B.