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

Question

Quizplus · Accepted Answer

The two angles are supplementary, meaning they add up to $180^\circ$. Let $x$ be the smaller angle, then the larger angle is $6x + 5^\circ$. The equation is $x + 6x + 5 = 180$, simplifying to $7x = 175$, so $x = 25^\circ$. The larger angle is $6(25) + 5 = 155^\circ$.

Solve the Problem Using the Elimination Method 5∘5 ^ { \circ }5∘

Solve the Problem Using the Elimination Method $5 ^ { \circ }$