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