Question
Download Solution PDFएक नियमित बहुभुज के विकर्णों की संख्या ज्ञात कीजिए जिसमें प्रत्येक बाहरी कोण 24° है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया है :
प्रत्येक बाहरी कोण 24° है।
संकल्पना :
एक नियमित बहुभुज के बाहरी कोणों का योगफल = 360°
उपयोग किया गया सूत्र :
एक नियमित बहुभुज का प्रत्येक बाहरी कोण = 360/n
और
विकर्णों की संख्या = n(n – 3)/2
जहाँ n = भुजाओं की संख्या
गणना :
भुजाओं की संख्या = 360/24 = 15
इस प्रकार,
विकर्णों की संख्या = (15 × 12)/2 = 90Last updated on Jun 11, 2025
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