Solve the problem.
-Two angles are supplementary, and one is $5^{\circ}$ more than six times the other. Find the larger angle.
A) $70^{\circ}$
B) $155^{\circ}$
C) $25^{\circ}$
D) $110^{\circ}$

Question

Quizplus · Accepted Answer

Supplementary angles add up to $180^{\circ}$. Let $x$ be the smaller angle, then the larger angle is $6x + 5^{\circ}$. The equation is $x + 6x + 5 = 180$, solving this gives $x = 25^{\circ}$, so the larger angle is $6(25) + 5 = 155^{\circ}$.

Solve the Problem 5∘5^{\circ}5∘ More Than Six Times the Other 70∘70^{\circ}70∘ B) 155∘155^{\circ}155∘

Solve the Problem $5^{\circ}$ More Than Six Times the Other $70^{\circ}$ B) $155^{\circ}$