Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)°. What is the measure of ∠ACB?(1 point)
m∠ACB=
To find the measure of ∠ACB, we need to know that supplementary angles add up to 180°.
So, we can write an equation: m∠ACB + m∠BCD = 180°
Substituting the given measures into the equation, we have: 4x + (6x + 50) = 180°
Combining like terms, we get: 10x + 50 = 180°
Subtracting 50 from both sides: 10x = 130°
Dividing both sides by 10: x = 13°
Now we can find the measure of ∠ACB by substituting x back into the equation for m∠ACB: m∠ACB = 4x = 4(13°) = 52°
Therefore, the measure of ∠ACB is 52°.