Find the measure of each angle in the problem.
-Supplementary angles with measures $3 x + 2$ and $2 x + 3$ degrees
A) $107 ^ { \circ }$ and $73 ^ { \circ }$
B) $77 ^ { \circ }$ and $103 ^ { \circ }$
C) $92 ^ { \circ }$ and $88 ^ { \circ }$
D) $122 ^ { \circ }$ and $58 ^ { \circ }$

Question

Quizplus · Accepted Answer

Supplementary angles add up to $180^\circ$. So, $3x + 2 + 2x + 3 = 180$. Solving this equation gives $x = 35$. Substituting $x = 35$ into the angle expressions gives angles of $107^\circ$ and $73^\circ$.

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