Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)° . What is the measure of ∠ACB ?(1 point)
m∠ACB=
Since the two angles are supplementary, their measures sum up to 180 degrees. To find the measure of ∠ACB, we set up the equation:
m∠ACB + m∠BCD = 180
Substituting the given angle measures:
4x + (6x + 50) = 180
Combine like terms:
10x + 50 = 180
Subtract 50 from both sides:
10x = 130
Divide both sides by 10:
x = 13
Finally, substituting this value back into the expression for m∠ACB:
m∠ACB = 4x = 4(13) = 52
Therefore, the measure of ∠ACB is 52 degrees.