The sum of two angles is $136^{\circ}$. One angle is $20^{\circ}$ less than twice the other. Find the angles.
A) $50^{\circ}$ and $86^{\circ}$
B) $52^{\circ}$ and $84^{\circ}$
C) $80^{\circ}$ and $56^{\circ}$
D) $50^{\circ}$ and $80^{\circ}$

Question

Quizplus · Accepted Answer

Let the smaller angle be $x$. Then the larger angle is $2x - 20^{\circ}$. The equation is $x + (2x - 20^{\circ}) = 136^{\circ}$. Solving gives $x = 52^{\circ}$ and the other angle is $84^{\circ}$.

The Sum of Two Angles Is 136∘136^{\circ}136∘ One Angle Is 20∘20^{\circ}20∘

The Sum of Two Angles Is $136^{\circ}$ One Angle Is $20^{\circ}$