Question
Download Solution PDF△ABC ত্রিভুজের AB এবং AC বাহু দুটি যথাক্রমে D এবং E বিন্দু পর্যন্ত বর্ধিত করা হয়েছে। ∠CBD এবং ∠BCE-এর সমদ্বিখণ্ডক দুটি P বিন্দুতে মিলিত হয়েছে। যদি ∠A = 72° হয়, তাহলে ∠P-এর মান হল:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFধরি ∠DBP = ∠PBC = a°
এবং ∠ECP + ∠PCB = b°
∠ABC = 180° - 2a° এবং ∠ACB = 180° - 2b°
ΔABC-তে,
180° - 2a° + 72° + 180° - 2b° = 180°
a° + b° = 126°
ΔPBC-তে,
a° + b° + x° = 180°
x° = 180° - 126° = 54°
∠BPC = 90° - (1/2) x ∠A
এখানে, ∠A = 72°
∴ ∠BPC = 90° - (1/2) x 72°
⇒ ∠BPC = 90° - 36° = 54°
Last updated on Jul 22, 2025
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