To find the measure of angle A, we can use the fact that the angles around a point add up to 360 degrees. Since angle B is adjacent to angle A and angle C, we know that angle B + angle A + angle C = 360 degrees. Given that angle C is 75 degrees, we can substitute it into the equation:
angle B + angle A + 75 = 360
angle B + angle A = 285
Since angle B and angle A are adjacent angles, they are supplementary angles, which means they add up to 180 degrees.
angle B + angle A = 180
Using the equation above, we can substitute angle B + angle A for 180:
180 = 285
Thus, it is not possible to find the measure of angle A based on the given information.
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
15°
15 degrees
75°
75 degrees
180°
180 degrees
105°
1 answer