Question

Four times the complement increased by forty-six is the same as twice the supplement. Find the measures of the angle, the complement, and the supplement. ?

Answer 1

Let the angle be `x^@`

So its complement is `(90-x)` and supplement is `180-x`

By the problem

`(90-x)4+46=2(180-x)`

`=>360-4x+46=360^-2x`

`=>4x-2x=46`

`=>2x=46`

`=>x=46/3=23`

So complement `(90-x)=90-23=67`

And supplement `180-x=180-23=157`