Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)° . What is the measure of ∠ACB ?(1 point)

Question

m∠ACB= °

Answer 1

To find the measure of ∠ACB, we need to set up the equation that states the two angles are supplementary.

Supplementary angles add up to 180 degrees, so we have:

m∠ACB + m∠BCD = 180

Substitute the given measures of m∠ACB and m∠BCD into the equation:

4x + (6x + 50) = 180

Combine like terms:

10x + 50 = 180

Subtract 50 from both sides:

10x = 130

Divide by 10:

x = 13

Now, substitute x back into the measure of ∠ACB:

m∠ACB = 4(13) = 52 degrees

Therefore, the measure of ∠ACB is 52 degrees.