Two angles are supplementary with measures m<ACB = 4x degree and m<BCD = (6x + 50) degree. What is the measure of <ACB?
m<ACB = ____degree
Since two angles are supplementary, the sum of their measures is 180 degrees.
Therefore, the measure of angle ACB is:
4x + (6x + 50) = 180
10x + 50 = 180
10x = 180 - 50
10x = 130
x = 130/10
x = 13
Therefore, the measure of angle ACB is:
4x = 4(13) = 52 degrees.
The measure of <ACB is 52 degrees.