Find the measure of each angle in the problem.
-Supplementary angles with measures 2x + 6 and 3x - 1 degrees
A) $76 ^ { \circ }$ and $104 ^ { \circ }$
B) $86 ^ { \circ }$ and $94 ^ { \circ }$
C) $66 ^ { \circ }$ and $114 ^ { \circ }$
D) $56 ^ { \circ }$ and $124 ^ { \circ }$

Question

Find the measure of each angle in the problem.
-Supplementary angles with measures 2x + 6 and 3x - 1 degrees 
A) $76 ^ { \circ }$ and $104 ^ { \circ }$
B) $86 ^ { \circ }$ and $94 ^ { \circ }$
C) $66 ^ { \circ }$ and $114 ^ { \circ }$
D) $56 ^ { \circ }$ and $124 ^ { \circ }$

Quizplus · Accepted Answer

Supplementary angles add up to $180 ^ { \circ }$. Setting up the equation $2x + 6 + 3x - 1 = 180$ simplifies to $5x + 5 = 180$, which further simplifies to $5x = 175$, giving $x = 35$. Substituting $x = 35$ into the angle expressions gives $2(35) + 6 = 76 ^ { \circ }$ and $3(35) - 1 = 104 ^ { \circ }$.

Find the Measure of Each Angle in the Problem 76∘76 ^ { \circ }76∘

Find the Measure of Each Angle in the Problem $76 ^ { \circ }$