Question

The measure of angle a is 38° angle b is complementary to angle a angle c is supplementary to angle b what is the measure for angle c

Answer 1

Complementary angles have a sum of 90°
Supplementary angles have a sum of 180°

So

∠b=90-a=90-38=52°
∠c=180-b=180-52=128°

Answer 2

Just to tell you that 38 degrees is a acute