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 two angles are supplementary, their measures add up to 180 degrees.
So, we have the equation:
m∠ACB + m∠BCD = 180
Substituting the given measures, we have:
4x° + (6x+50)° = 180
Now, we can solve for x:
10x + 50 = 180
10x = 180 - 50
10x = 130
x = 130/10
x = 13
Finally, we can substitute the value of x back into the measure of ∠ACB to find its value:
m∠ACB = 4x°
m∠ACB = 4(13)°
m∠ACB = 52°
So, the measure of ∠ACB is 52 degrees.