Question
Download Solution PDFপ্রদত্ত চিত্রে O বৃত্তের কেন্দ্র এবং ∠AOC = 140° হলে ∠ABC নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত :
O বৃত্তটির কেন্দ্র
∠AOC =140°
গণনা:
O বৃত্তটির কেন্দ্র
বাকি বৃত্তচাপটিতে D বিন্দু নিই
∠AOC = 140°
∠AOC = 2∠ADC (একটি জ্যা থেকে কেন্দ্রীয় কোণ = একই বৃত্তচাপে গঠিত কোণের দ্বিগুণ)
⇒ 140° = 2∠ADC
⇒ ∠ADC = 70°
ABCD একটি বৃত্তীয় চতুর্ভুজ
বৃত্তীয় চতুর্ভুজের বিপরীত কোণগুলির সমষ্টি = 180°
⇒ ∠ABC + ∠ADC= 180°
⇒ 70° + ∠ABC = 180°
⇒ ∠ABC = 110°
∴ বিকল্প 2 সঠিক উত্তর।
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