Two angles are supplementary. One angle is $52^{\circ}$ less than three times the other. Find the measures of the angles.
A) $30^{\circ}, 38^{\circ}$
B) $58^{\circ}, 122^{\circ}$
C) $53^{\circ}, 127^{\circ}$
D) $63^{\circ}, 117^{\circ}$

Question

Quizplus · Accepted Answer

Supplementary angles add up to $180^{\circ}$. Let $x$ be one angle, then the other is $3x - 52$. The equation is $x + 3x - 52 = 180$. Solving for $x$ gives $x = 58$, so the angles are $58^{\circ}$ and $122^{\circ}$.

Two Angles Are Supplementary 52∘52^{\circ}52∘ Less Than Three Times the Other 30∘,38∘30^{\circ}, 38^{\circ}30∘,38∘

Two Angles Are Supplementary $52^{\circ}$ Less Than Three Times the Other $30^{\circ}, 38^{\circ}$