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

question 70

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) \(\left\{ \begin{array} { l }
• x + y = 180 \\
• y = 55 - 2 x
• \end{array} \right.\)

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