Question
Download Solution PDFఇచ్చిన చిత్రంలో, O అనేది వృత్తం యొక్క కేంద్రం మరియు ∠AOC = 140°. ∠ABCని కనుగొనండి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడింది :
O అనేది వృత్తం యొక్క కేంద్రం
∠AOC =140°
గణన:
O అనేది వృత్తం యొక్క కేంద్రం
మిగిలిన చాపంలో బిందువు D తీసుకొనిన
∠AOC = 140°
∠AOC = 2∠ADC (కేంద్రం వద్ద సరళరేఖతో ఏర్పడిన కోణం = ఒకే చాప విభాగంలో రెండు రెట్లు కోణం ఏర్పడుతుంది)
⇒ 140° = 2∠ADC
⇒ ∠ADC = 70°
ABCD చక్రీయ చతుర్భుజంగా ఉంటుంది
చక్రీయ చతుర్భుజం యొక్క వ్యతిరేక కోణాల మొత్తం = 180°
⇒ ∠ABC + ∠ADC= 180°
⇒ 70° + ∠ABC = 180°
⇒ ∠ABC = 110°
∴ ఎంపిక 2 సరైన సమాధానం.
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