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The above figure shows a 12 -sided regular polygon. What is the value
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09 Aug 2025, 01:22
09 Aug 2025, 01:22
Expert Reply
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100% (00:49) correct
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GRE The above figure shows a 12 -sided regular.png [ 35.89 KiB | Viewed 144 times ]
The above figure shows a 12 -sided regular polygon. What is the value of each individual internal angle of the given polygon?
(A) $\(120^{\circ}\)$
(B) $\(150^{\circ}\)$
(C) $\(160^{\circ}\)$
(D) $\(170^{\circ}\)$
(E) $\(180^{\circ}\)$
The above figure shows a 12 -sided regular polygon. What is the value
[#permalink]
30 Aug 2025, 03:40
30 Aug 2025, 03:40
Expert Reply
To find the value of each internal angle of a regular polygon with 12 sides, use the formula:
$$
\(\text { Each internal angle }=\frac{(n-2) \times 180^{\circ}}{n}\)
$$
where $n$ is the number of sides.
For $\(n=12\)$ :
$$
\(\text { Each internal angle }=\frac{(12-2) \times 180^{\circ}}{12}=\frac{10 \times 180^{\circ}}{12}=\frac{1800^{\circ}}{12}=150^{\circ}\)
$$
So, each internal angle of the 12 -sided regular polygon is $\(150^{\circ}\)$.
The correct answer is (B) $\(150^{\circ}\)$.
$$
\(\text { Each internal angle }=\frac{(n-2) \times 180^{\circ}}{n}\)
$$
where $n$ is the number of sides.
For $\(n=12\)$ :
$$
\(\text { Each internal angle }=\frac{(12-2) \times 180^{\circ}}{12}=\frac{10 \times 180^{\circ}}{12}=\frac{1800^{\circ}}{12}=150^{\circ}\)
$$
So, each internal angle of the 12 -sided regular polygon is $\(150^{\circ}\)$.
The correct answer is (B) $\(150^{\circ}\)$.
gmatclubot
The above figure shows a 12 -sided regular polygon. What is the value [#permalink]
30 Aug 2025, 03:40
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