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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Definitions:

Problem

A situation, question, or matter that needs to be solved or resolved through thought, discussion, or action.

Analogy

A cognitive process of transferring information or meaning from a particular subject (the analogue or source) to another (the target), also a linguistic expression corresponding to such a process.

Similar Phenomena

Events or occurrences that share common attributes or patterns with others, allowing comparisons and analyses based on their resemblances.

Psychological Concepts

Ideas and theories that explain human behavior, emotions, and thought processes within the field of psychology.