what is the sum of the measures of the angles of this 9-sided polygon?

(a) 1,080^
(b) 1,260^
(c) 1,440^
(d) 1,620^

Question

what is the sum of the measures of the angles of this 9-sided polygon?

(a) 1,080^
(b) 1,260^
(c) 1,440^
(d) 1,620^

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Polygon Angle Sum" ], "current_concepts": [ "Polygon Angle Sum" ] } ## Identify the number of sides $$ n = 9 $$ ## Apply the interior angle sum formula $$ S = (n - 2) \times 180^\circ $$ ## Calculate the sum $$ \begin{aligned} S &= (9 - 2) \times 180^\circ \ S &= 7 \times 180^\circ \ S &= 1,260^\circ \end{aligned} $$

(A) $1,080^\circ$

(B) $1,260^\circ$

(C) $1,440^\circ$

(D) $1,620^\circ$

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

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QUESTION IMAGE

Question

Explanation:

Identify the number of sides

Apply the interior angle sum formula

Calculate the sum

Answer: