if the sum of interior angle measures of a polygon is 1080°, how many sides does the polygon have?

a. 9
b. 8
c. 7
d. 10

Question

if the sum of interior angle measures of a polygon is 1080°, how many sides does the polygon have?

a. 9
b. 8
c. 7
d. 10

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polygon Interior Angles Theorem" ], "new_concepts": [], "current_concepts": [ "Polygon Interior Angles Theorem" ] } ## Set up the interior angle sum equation $$ (n - 2) \times 180^\circ = 1080^\circ $$ ## Solve for the number of sides $$ \begin{aligned} n - 2 &= \frac{1080}{180} \ n - 2 &= 6 \ n &= 8 \end{aligned} $$

A. 9

B. 8

C. 7

D. 10

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

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QUESTION IMAGE

Question

Explanation:

Set up the interior angle sum equation

Solve for the number of sides

Answer: