Answer
A is 120 degrees, B is 24 degrees, and C is 36 degrees
Work Step by Step
We are told:
$ A = 5B \\ B+ C = A - 60 $
Since it is a triangle, we know:
$ A + B + C =180 $
Substituting $B+C = A -60$, we obtain:
$ A + A - 60 = 180 \\ A = 120$
Thus, we find:
$ A = 5B \\ B = \frac{120}{5} = 24$
Finally, we find C:
$ C = 180 - A -B = 180 - 120 - 24 = 36$
