Question
Download Solution PDFప్రతి బాహ్య కోణం 24° ఉన్న సాధారణ బహుభుజి యొక్క కర్ణాల సంఖ్యను కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన దత్తాంశం:
ప్రతి బాహ్య కోణాలు 24 °
విషయం భావన:
సాధారణ బహుభుజి యొక్క బాహ్య కోణాల మొత్తం = 360 °
ఫార్ములా:
సాధారణ బహుభుజి యొక్క ప్రతి బాహ్య కోణాలు = 360 / n
మరియు
కర్ణాల సంఖ్య = n (n - 3) / 2
ఇక్కడ n = భుజాల సంఖ్య
లెక్కింపు :
భుజాల సంఖ్య = 360/24 = 15
కాబట్టి,
కర్ణాల సంఖ్య = (15 × 12) / 2 = 90
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