Question 322620
The definition of complementary angles is two acute angles that add up to 90 degrees.  Written as a formula:

A+B = 90 (A= measure of angle A, B=measure of angle B, A and B are complementary)

We also know that angle A is 38 degrees less than B. So you can also write this as a formula:
A = B-38

Now we can combine these formulas by plugging formula two into formula one for A and solving for B:
A+B = 90
(B-38) + B = 90
2B - 38 = 90
2B = 128
B = 64
So the measure of angle B is 64 degrees.  Now plug this into formula two to find A:
A = B-38
A = 64-38
A = 26

The measure of angle A is 26 degrees.