Question
Download Solution PDFजर एका नियमित बहूभुजाकृतीचा प्रत्येक अंतर्गत कोन 135° आहे, तर त्या बहूभुजाकृतीच्या कर्णांची संख्या किती?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFनियमित बहूभुजाकृतीचा प्रत्येक अंतर्गत कोन 135° आहे,
⇒ बाह्य कोन = 180° - अंतर्गत कोन = 45°
⇒ बहूभुजाकृतीच्या बाजूंची संख्या = 360°/बाह्य कोन = 8
∴ कर्णांची संख्या = n(n - 3)/2 = 8 × (8 - 3)/2 = 20, जिथे n ही बहूभुजाकृतीच्या बाजूंची संख्या आहे.Last updated on Jun 2, 2025
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