Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)°. What is the measure of ∠ACB?(1 point) m∠ACB=
The sum of two supplementary angles is 180 degrees. So, we have the equation:
m∠ACB + m∠BCD = 180
Substituting the given angle measures, we have:
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
Therefore, the measure of ∠ACB is:
m∠ACB = 4x
= 4(13)
= 52 degrees. Answer: \boxed{52}.