Answer
smaller angle = $40^o$
larger angle = $140^o$
Work Step by Step
Let $x$ be the angle and $y$ be its supplement.
Then,
$20+3x=y$
$x+y=180$
Substitute one equation into the other and simply using algebra:
$x+20+3x=180
\\4x+20=180
\\4x=160
x=40$
Substitute the x value into the second equation and solve for y:
$40+y=180
\\y=140$