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

Answer 1

Since the angles are supplementary, we can set up the equation:
m∠ACB + m∠BCD = 180

Substitute the given measures:
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 angle ACB:
m∠ACB = 4(13)
m∠ACB = 52

Therefore, the measure of angle ACB is 52 degrees.