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 degrees.
So we can write the equation: 4x + (6x + 50) = 180
Combining like terms: 10x + 50 = 180
Subtracting 50 from both sides: 10x = 130
Dividing both sides by 10: x = 13
Plugging x back into the equation for ∠ACB: 4(13) = 52
Therefore, the measure of ∠ACB is 52 degrees.