Question
Download Solution PDFABCD একটি চক্রাকার চতুর্ভুজ। কর্ণ BD এবং AC পরস্পরকে E এ ছেদ করে। যদি ∠BEC = 138° এবং ∠ECD = 35° হয়, তাহলে ∠BAC এর পরিমাপ কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
∠BEC = 138° এবং ∠ECD = 35°
ব্যবহৃত ধারণা:
চক্রাকারে চতুর্ভুজ কোণগুলি একই চাপে সর্বদা একই থাকে
গণনা:
∠BEC এবং ∠CED একই সরলরেখায়
∠BEC = 138°
∠CED = 180° – 138°
⇒ ∠CED = 42°
ΔCDE-তে, ∠CED = 42° এবং ∠DCE = 35°
∠CDE = 180° - (42° + 35°)
∠CDE = 103°
∠BAC এবং ∠BDC একই BC তে অবস্থিত
আমরা জানি যে একই চাপের চক্রাকার চতুর্ভুজ কোণগুলি সর্বদা একই থাকে।
∠BAC = 103°
∴ ∠BAC এর পরিমাপ 103°
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