The supplement of an angle is one third of the given angle. Find the measures of the given angle and its supplement.

Explanation

Let the measure of the given angle be `x^(@)`.
Then, the measure of its supplement `=(180-x)^(@)`.
`:. 180-x=1/3 x implies implies 3(180-x)=x`
`implies 540-3x=x`
`implies 4x=540 implies x=135`.
Hence, the measure of the given angle is `135^(@)` and the measure of its supplement is `(180-135)^(@)=45^(@)`.