the diagram shows a convex polygon.
what is the value of (s)?
(s = \square^{\circ})

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Interior Angle Formula" ], "new_concepts": [], "current_concepts": [ "Interior Angle Formula", "Solving Linear Equations" ] } ## Sum of interior angles $$ (n - 2) \times 180^\circ = (5 - 2) \times 180^\circ = 540^\circ $$ ## Set up equation $$ 89 + 150 + 121 + 4s + 2s = 540 $$ ## Solve for s $$ \begin{aligned} 360 + 6s &= 540 \ 6s &= 180 \ s &= 30 \end{aligned} $$ What is the value of $s$? $s =$ 30$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Interior Angle Formula" ] }

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Question

Explanation:

Sum of interior angles

Set up equation

Solve for s

Answer: