Question

Two angles are complementary. One angle is 4 degrees less than three times the other angle. Find the measure of each angle.

Answer 1

If two angles are complementary, then the sum of the two angles equals 90 degrees.

So angle A + angle B = 90 degrees

You are given that one angle is 4 degrees less than three times the other angle.

If we let angle B be that angle, then angle B = 3* angle A -4 degrees

Substitution into the equation we have this:

Angle A + 3*Angle A -4 degrees = 90 degrees
4*Angle A = 90 degrees + 4 degrees
4*Angle A = 94 degrees
Angle A = 94 degrees/4
Angle A = 23.5 degrees

So Angle B = 90 degrees - 23.5 degrees
Angle B = 66.5 degrees