what is the sum of the measures of the interior angles of a 15-sided polygon?

a. 2340^circ
b. 2700^circ
c. 3060^circ
d. 1500^circ

Question

what is the sum of the measures of the interior angles of a 15-sided polygon?

a. 2340^circ
b. 2700^circ
c. 3060^circ
d. 1500^circ

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polygon Definition" ], "new_concepts": [ "Polygon Interior Angles Theorem" ], "current_concepts": [ "Polygon Definition", "Polygon Interior Angles Theorem" ] } ## Identify the number of sides $$ n = 15 $$ ## Apply the polygon interior angles sum formula $$ S = (n - 2) \times 180^\circ $$ ## Calculate the sum of the interior angles $$ \begin{aligned} S &= (15 - 2) \times 180^\circ \ S &= 13 \times 180^\circ \ S &= 2340^\circ \end{aligned} $$

(A) $2340^\circ$

(B) $2700^\circ$

(C) $3060^\circ$

(D) $1500^\circ$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Polygon Interior Angles Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the number of sides

Apply the polygon interior angles sum formula

Calculate the sum of the interior angles

Answer: