two angles are supplementary with measures m∠ACB = 4x° and m∠BCD = (6x + 50)° what is the measure of ∠ACB
Since the two angles are supplementary, their measures add up to 180 degrees.
So, m∠ACB + m∠BCD = 180 degrees
Substituting the given values, we have:
4x + (6x + 50) = 180
Combining like terms, we get:
10x + 50 = 180
Subtracting 50 from both sides, we have:
10x = 130
Dividing both sides by 10, we get:
x = 13
Now we can find the measure of ∠ACB:
m∠ACB = 4x
m∠ACB = 4(13)
m∠ACB = 52
Therefore, the measure of ∠ACB is 52 degrees.