How do I solve this? What is the answer?

Question

In a right triangle, the measure of an a cute angle is 4 times the measure of the other angle which is n*. Find the measure of n*.

Answer 1

Let n be the angle whose measure we want to determine. Then, from the problem,

n = 4(90-n),

since n and its complementary angle are part of a right triangle. Thus

5n = 360,

or n = 72.