Let's say [tex]x[/tex] is the measure of the first angle and [tex]y[/tex] is measure of the supplement of [tex]x[/tex]. We know that supplementary angles add up to 180°, so [tex]x + y=180[/tex]. We also know that [tex]x = 29y[/tex]. Therefore, [tex]29y+y=180[/tex]. It follows that [tex]y = 6[/tex], therefore, the first angle is 174° and the second angle is 6°.
