Question

2 angles are supplementary with measures m<acb =4x and m<bcd=(6x+50) what is the measure of <acb

Answer 1

If two angles are supplementary, then the sum of their measures is 180 degrees.

In this case, we have:

m<acb + m<bcd = 180

Substituting the given measures, we have:

4x + (6x + 50) = 180

Combine like terms:

10x + 50 = 180

Subtract 50 from both sides:

10x = 130

Divide both sides by 10:

x = 13

Now we can find m<acb:

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

Therefore, the measure of <acb is 52 degrees.