Question

18. ALGEBRA Angles Q and R are supplementary. If m angle Q = 4x + 9 and m angle R = 8x + 3, what is the measure of each angle?

Answer 1

`\begin{gathered} \text{When angles are supplementary, it means the sum of the Two angles is 180}^(\circ) \\ \text{ Q + R = 180}^(\circ) \\ (\text{ }4X\text{ + 9 ) + (8X + 3) = 180} \\ \text{ 4X + 9 + 8X + 3 = 180} \\ \text{ 12X + 12 = 180} \\ \text{ 12x = 180 -12} \\ \text{ 12X = 168} \\ \text{ X = }(168)/(12) \\ \text{ X = 14} \\ Angle\text{ Q = 4x + 9} \\ \text{ = 4 }*\text{ 14 + 9 = }65^(\circ) \\ ^{^{\text{ }}}\text{ }Angle\text{ R = 8x + }3 \\ \text{ = 8 }*\text{ 14 + 3} \\ \text{ =}112+3=115^(\circ) \end{gathered}`