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
105°
105 degrees
75°
75 degrees
15°
15 degrees
180°
Let's call the other side of angle C as angle D. Since angle B is adjacent to angle A and angle C, it is also adjacent to angle D.
Since angle C is given as 75°, and angles adjacent to each other add up to 180°, we can find angle D by subtracting angle C from 180°.
D = 180° - 75° = 105°
Similarly, angle A is adjacent to angle B and angle D, so it is also adjacent to angle C. Therefore, angle A is also 75°.
So, m∠A = 75°.