Solve the problem using the elimination method.
-Two angles are supplementary, and one is $40 ^ { \circ }$ more than three times the other. Find the smaller angle.
A) $145 ^ { \circ }$
B) $105 ^ { \circ }$
C) $75 ^ { \circ }$
D) $35 ^ { \circ }$

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 $3x + 40^\circ$. The equation is $x + 3x + 40 = 180$. Solving for $x$ gives $4x = 140$, so $x = 35^\circ$, which is the smaller angle.

Solve the Problem Using the Elimination Method 40∘40 ^ { \circ }40∘

Solve the Problem Using the Elimination Method $40 ^ { \circ }$