Solve the problem.
-Two angles are supplementary if the sum of their measures is 180°. If the measure of one angle is given by ( $\left. \frac { 31 x } { 12 } \right) ^ { \circ }$ ° and the measure of its supplement is given byven by ( $\left( \frac { 7 x } { 6 } \right) ^ { \circ }$ , find , find the measures of the two angles.
A)124°, 56°
B)24°, 156°
C)62°, 118°
D)48°, 132°

Question

Quizplus · Accepted Answer

The sum of the angles is 180 degrees, so:$\left. \frac { 31 x } { 12 } \right) ^ { \circ } + \left( \frac { 7 x } { 6 } \right) ^ { \circ } = 180 ^ { \circ }$$\frac { 31 x + 14 x } { 12 } = 180$$\frac { 45 x } { 12 } = 180$$45 x = 2160$$x = 48$So the angles are:$\left. \frac { 31 x } { 12 } \right) ^ { \circ } = \left. \frac { 31 (48) } { 12 } \right) ^ { \circ } = 124 ^ { \circ }$$\left( \frac { 7 x } { 6 } \right) ^ { \circ } = \left( \frac { 7 (48) } { 6 } \right) ^ { \circ } = 56 ^ { \circ }$

Solve the Problem 31x12)∘\left. \frac { 31 x } { 12 } \right) ^ { \circ }1231x​)∘

Solve the Problem $\left. \frac { 31 x } { 12 } \right) ^ { \circ }$