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°
75°
75 degrees
180°
180 degrees
105°
105 degrees
15°
Since angles B and C are adjacent, they form a straight line, which means their sum is 180°. So if m∠C=75°, then m∠B=180°-75°=105°. Thus, m∠A=m∠B=105°.
Therefore, the correct answer is 105°.