Two angles are supplementary with measures m ACB = 4x° and m BCD = (6×+50)°. What is the measure of ACB?
Supplementary angles add up to 180 degrees. Therefore, we can set up the equation:
m ACB + m BCD = 180°
4x + (6x + 50) = 180
10x + 50 = 180
10x = 180 - 50
10x = 130
x = 130/10
x = 13
Therefore, the measure of ACB is 4x = 4(13) = 52 degrees.