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 angles are supplementary, the sum of their measures is 180 degrees. So, we can set up the equation:
4x + 6x + 50 = 180
Combining like terms, we get:
10x + 50 = 180
Subtracting 50 from both sides, we have:
10x = 130
Dividing both sides by 10, we get:
x = 13
Now we can substitute x back into the expression for ∠ACB:
m∠ACB = 4x
m∠ACB = 4(13)
m∠ACB = 52
Therefore, the measure of ∠ACB is 52 degrees. Answer: \boxed{52}.