Question

two angels are complementary . the larger angle 3 degrees less than twice the measure of the smaller angle .find the measure of each angle

Answer 1

Suppose smaller angle be y and larger be x then twice the smaller angle ie 2y and three degrees less thus 2y-3 so x=2y-3

And also x+y=90

So 2y-3+y=90 and 4y-3=90 so y=23.25 and x=66.75