Answer
A is 25 degrees, B is 45 degrees, and C is 110 degrees.
Work Step by Step
We are told:
$ C = A + B + 40 \\ A = B - 20 $
Since it is a triangle, we know:
$ A+ B+C = 180$
Plugging in $A+B=C-40$ into equation three, we find:
$ 2C - 40 = 180 \\ 2C = 220 \\ C = 110$
We plug this value and equation two into equation one to find:
$ 110 = B -20 + B + 40 \\ 2B = 90 \\ B = 45$
Finally, we obtain:
$ A = B - 20 = 45 - 20 = 25$
