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{ "quality": "incomplete", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Pair Theorem" ], "new_concepts": [], "current_concepts": [ "Linear Pair Theorem", "Linear Equations" ] } ## Identify the relationship between the angles $$ w + y = 180^\circ $$ ## Substitute the given value of y $$ \begin{aligned} &y = 131^\circ \ &w + 131 = 180 \end{aligned} $$ ## Solve for w $$ w = 180 - 131 = 49 $$ $w =$ 49 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Linear Pair Theorem" ] }

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Explanation:

Identify the relationship between the angles

Substitute the given value of y

Solve for w

Answer: