The measure of an angle is forty-four times the measure of a complementary angle. What is the measure of each angle?

Answer 1

Let one angle be x.

The other angle is 44 times x, so it is 44x.

By definition, the sum of complementary angles is 90^o.

Therefore,

x + 44x = 90

45x = 90

Divide each side by 45.

x = 90/45 = 2

44x = 4*2 = 88.

Answer:

The angles are 2^o and 88^o.

Verify that 2 + 88 = 90.