Question
Download Solution PDFసాధారణ బహుభుజి యొక్క ప్రతి అంతర కోణం 144° అయితే, దాని భుజాల సంఖ్య:
Answer (Detailed Solution Below)
Detailed Solution
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ప్రతి అంతర కోణం = 144°
ఉపయోగించబడిన సూత్రం
ప్రతి అంతర కోణం = 180(n - 2)/n (n = భుజాల సంఖ్య)
గణన
ప్రతి అంతర కోణం = 144°
⇒ 180(n - 2) = 144n
⇒ n = 10
∴ బహుభుజి యొక్క భుజాల సంఖ్య 10.
ప్రతి అంతర కోణం = 144°
ప్రతి బాహ్య కోణం = 180 - 144 = 36°
భుజాల సంఖ్య = 360/36 = 10
∴ బహుభుజి యొక్క భుజాల సంఖ్య 10
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