Two angles are supplementary with measures m acb=4x degrees and m bcd= (6x+50) degrees. 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 = 130
x = 13
Therefore, the measure of ACB is:
m ACB = 4x = 4(13) = 52 degrees