Question
Download Solution PDFసాధారణ బహుభుజి యొక్క ప్రతి అంతర్గత కోణం 135° అయితే, బహుభుజి యొక్క వికర్ణాల సంఖ్యను కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFసాధారణ బహుభుజి యొక్క ప్రతి అంతర్గత కోణం 135°,
⇒ బాహ్య కోణం = 180° - అంతర్గత కోణం = 45°
⇒ బహుభుజి యొక్క భుజాల సంఖ్య = 360°/బాహ్య కోణం = 8
∴ వికర్ణాల సంఖ్య = n(n - 3)/2 = 8 × (8 - 3)/2 = 20, ఇక్కడ n అనేది బహుభుజి యొక్క భుజాల సంఖ్యLast updated on Jun 2, 2025
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