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

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Triangle Angle Sum" ], "current_concepts": [ "Triangle Angle Sum", "Linear Equations" ] } ## Identify the polygon and its interior angles The given polygon is a triangle with interior angles: $$ 5v^\circ,\quad 67^\circ,\quad 43^\circ $$ ## Set up the angle sum equation The sum of the interior angles of a triangle is always $180^\circ$: $$ 5v + 67 + 43 = 180 $$ ## Solve for v $$ \begin{aligned} 5v + 110 &= 180\ 5v &= 70\ v &= 14 \end{aligned} $$ What is the value of $v$? $v =$ 14 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Angle Sum" ] }

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Question

Explanation:

Identify the polygon and its interior angles

Set up the angle sum equation

Solve for v

Answer: