two angles are supplementary with measures m∠ACB = 4x° and m∠BCD = (6x + 50)° what is the measure of ∠ACB

Answer 1

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.