*********FIND THE RATIO OF THE ANGLE TO ITS SUPPLEMENT ***********

Question

The complement of an angle is fifteen less than half the angle. What is the ratio of this angle in simplest form?

Answer 1

x + (x/2 - 15°) = 90°; so 3x/2 = 105°, x = 70°, complement angle x' = 20°; so x/x' = 7/2.

Supplement angle x'' = 180° - 70° = 110°; so x/x'' = 7/11