what is the sum of the measures of the interior angles?
what is x?

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{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polygon Angle Sum Theorem", "Interior Angles of a Polygon", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Polygon Angle Sum Theorem", "Interior Angles of a Polygon", "Linear Equations" ] } ## Calculate the sum of the interior angles $$ \begin{aligned} n &= 6 \ S &= (n - 2) \times 180^\circ \ S &= (6 - 2) \times 180^\circ = 4 \times 180^\circ = 720^\circ \end{aligned} $$ ## Set up the equation to solve for x $$ \begin{aligned} 140^\circ + 150^\circ + 90^\circ + x^\circ + 130^\circ + 90^\circ &= 720^\circ \ 600 + x &= 720 \ x &= 120 \end{aligned} $$ ## Question 1 What is the sum of the measures of the interior angles? 720$^\circ$ ## Question 2 What is x? 120$^\circ$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Polygon Angle Sum Theorem" ] }

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Explanation:

Calculate the sum of the interior angles

Set up the equation to solve for x

Answer:

Question 1

Question 2