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 degree
15 degree
75 degree
105 degree
180 degree
Since angle A and C are adjacent angles, they are supplementary. This means that the measure of angle A + the measure of angle C = 180 degrees.
Given that the measure of angle C is 75 degrees, we can substitute this value into the equation:
m(A) + 75 = 180
Subtracting 75 from both sides, we have:
m(A) = 180 - 75
Simplifying, we get:
m(A) = 105 degrees
Therefore, angle A measures 105 degrees.
The correct answer is: 105 degree