x + 59^{\circ} + 72^{\circ} = 180^{\circ}

x = 49^{\circ}

find y.

y is an exterior angle. it makes a linear pair with x.

x + y = 180^{\circ}

y = ^{\circ}

find w.

Question

x + 59^{\circ} + 72^{\circ} = 180^{\circ}

x = 49^{\circ}

find y.

y is an exterior angle. it makes a linear pair with x.

x + y = 180^{\circ}

y =  ^{\circ}

find w.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Pair Theorem", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Linear Pair Theorem", "Linear Equations" ] } ## Identify the given values and equation $$ \begin{aligned} x &= 49 \ x + y &= 180^{\circ} \end{aligned} $$ ## Substitute and solve for y $$ \begin{aligned} 49 + y &= 180 \ y &= 180 - 49 \ y &= 131 \end{aligned} $$ $x+y=180^{\circ}$ $y =$ 131$^{\circ}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Linear Pair Theorem" ] }

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Question

Explanation:

Identify the given values and equation

Substitute and solve for y

Answer: