Two angles are supplemantery with measures m ACB=4x degrees and m BCD=(6x+50) degrees. what is the measure of ACB?

Answer 1

Supplementary angles add up to 180 degrees.

So, we have:

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:

m ACB = 4x = 4(13) = 52 degrees.