Two Angles Are Complementary $\left\{ \begin{array} { l } x + y = 90 \\y = 2 x - 55\end{array} \right.$

Multiple Choice

Two angles are complementary. The measure of the larger angle is 55? less than twice the measure of the smaller angle. If x measures the smaller angle and y measures the larger angle, write a system of two equations in two unknowns that would model the situation.

A) $\left\{ \begin{array} { l } x + y = 90 \\y = 2 x - 55\end{array} \right.$
B) $\left\{ \begin{array} { l } x + y = 90 \\y = 55 - 2 x\end{array} \right.$
C) $\left\{ \begin{array} { l } x + y = 180 \\y = 2 x - 55\end{array} \right.$
D) $\left\{ \begin{array} { l } x + y = 180 \\y = 55 - 2 x\end{array} \right.$