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.
Since angles A and C are adjacent angles formed by intersecting lines, they are supplementary angles, which means that their measures sum up to 180 degrees.
If m/C = 75, then m/A + 75 = 180 (due to the supplementary relationship between angles A and C)
Subtracting 75 from both sides, we get:
m/A = 180 - 75
m/A = 105
Therefore, m/A = 105 degrees.