pascal wants to find the sum of the measures of the interior angles of a polygon that has $n$ sides. how could he do this?

* multiply $180^\circ$ by $n$
* multiply $180^\circ$ by $(n+2)$
* multiply $180^\circ$ by $(n-2)$
* multiply $180^\circ$ by 2

Question

pascal wants to find the sum of the measures of the interior angles of a polygon that has $n$ sides. how could he do this?

* multiply $180^\circ$ by $n$
* multiply $180^\circ$ by $(n+2)$
* multiply $180^\circ$ by $(n-2)$
* multiply $180^\circ$ by 2

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polygon Angle Sum" ], "new_concepts": [], "current_concepts": [ "Polygon Angle Sum", "Polygon Triangulation" ] } ## Identify the formula for the sum of interior angles $$ S = (n - 2) \times 180^\circ $$ ## Interpret the formula in words $$ \text{Sum} = 180^\circ \times (n - 2) $$ ## Match with the given options $$ \text{Multiply } 180^\circ \text{ by } (n - 2) $$

Multiply $180^\circ$ by $n$

Multiply $180^\circ$ by $(n+2)$

Multiply $180^\circ$ by $(n-2)$

Multiply $180^\circ$ by 2

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Polygon Angle Sum" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the formula for the sum of interior angles

Interpret the formula in words

Match with the given options

Answer: