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

Question

m<ACB = ___

Answer 1

The sum of the measures of two supplementary angles is 180 degrees. Therefore, we can set up the equation:

m<ACB + m<BCD = 180

Substituting the given measures:

4x + (6x + 50) = 180

Combining like terms:

10x + 50 = 180

Subtracting 50 from both sides:

10x = 130

Dividing both sides by 10:

x = 13

Now we can substitute x = 13 into the measure of <ACB:

m<ACB = 4x = 4(13) = 52

Therefore, the measure of <ACB is 52 degrees.

Answer 2

are you sure

Answer 3

Yes, I am confident in the answer. Based on the given information and the equation I set up, solving for x allows us to find the measure of angle ACB to be 52 degrees.

Answer 4

your wrong bot