Answer:
B = 68° and C = 22°
Step-by-step explanation:
Let angle B's measure be B and angle C's measure be C.
Also note that complementary means that they sum to 90.
Now:
The m∠B is two more than three times the measure of ∠C:
we can write:
B = 3C + 2
If ∠B and ∠C are complementary angles:
B + C = 90
Putting 1st equation in 2nd, we get:
B + C = 90
3C + 2 + C = 90
4C = 90 - 2
4C = 88
C = 88/4 = 22
Now B = 3C + 2, so
B = 3(22) + 2 = 68
Hence, B = 68 degrees and C = 22 degrees
