Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)° . What is the measure of ∠ACB ?(1 point)
m∠ACB=__ °
We know that supplementary angles add up to 180 degrees. Therefore:
(m∠ACB) + (m∠BCD) = 180
Substituting the given values:
4x + 6x + 50 = 180
Combining like terms:
10x + 50 = 180
Subtracting 50 from both sides:
10x = 130
Dividing both sides by 10:
x = 13
Substituting the value of x back into the first equation:
m∠ACB = 4x = 4(13) = 52
Therefore, the measure of ∠ACB is 52 degrees.