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 add up to 180°.
Therefore, we can set up the equation:
4x + (6x + 50) = 180
Combine like terms:
10x + 50 = 180
Subtract 50 from both sides:
10x = 130
Divide both sides by 10:
x = 13
Now we can find the measure of angle ACB:
m∠ACB = 4x = 4(13) = 52°