Question
Download Solution PDFयदि सम बहुभुज के प्रत्येक बाहरी कोण 36° हैं, तो सम बहुभुज में कितनी भुजाएं हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
n भुजाओं वाला बहुभुज,
- आंतरिक कोण + बाहरी कोण = 180°
- बहुभुज का प्रत्येक आंतरिक कोण = \(\rm \left ( n-2 \right )\times \frac{180^{0}}{n}\) .
गणना:
हम जानते हैं कि, आंतरिक कोण + बाहरी कोण = 180°
⇒ आंतरिक कोण + 36° = 180°
⇒ बहुभुज का कोण = 144°
∴ 144 = \(\rm \left ( n-2 \right )\times \frac{180^{0}}{n}\)
⇒ \(\rm \frac{4n}{5}= n-2\)
⇒ n = 10
सही विकल्प 2 है।
Last updated on Jun 13, 2025
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