question 38 of 40

if the sum of interior angle measures of a polygon is 540°, how many sides does the polygon have?

a. 6
b. 7
c. 5
d. 4

Question

question 38 of 40

if the sum of interior angle measures of a polygon is 540°, how many sides does the polygon have?

a. 6
b. 7
c. 5
d. 4

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 formula $$ (n - 2) \cdot 180^\circ = 540^\circ $$ ## Solve for n $$ \begin{aligned} n - 2 &= \frac{540^\circ}{180^\circ} \ n - 2 &= 3 \ n &= 5 \end{aligned} $$

A. 6

B. 7

C. 5

D. 4

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the interior angle sum formula

Solve for n

Answer: