Question

The sum of the complementary and supplementary of an angle is 150. Find the measure of the angle

Answer 1

`\mathrm{Let\ the\ required\ angle\ be}\ x.\\\mathrm{Then,\ complementary\ of\ }x=90-x\\\mathrm{Supplementary\ of\ }x=180-x\\\mathrm{Now,}\\90-x+180-x=150\\\mathrm{or,\ }270-2x=150\\\mathrm{or,\ }2x=270-150\\\mathrm{or,\ }2x=120\\\therefore\ x=60`