Question
Download Solution PDFএকটি বৃত্তে, ABCD হল একটি বৃত্তীয় চতুর্ভুজ। AC এবং BD একে অপরকে P-বিন্দুতে ছেদ করে। যদি AB = AC এবং ∠BAC = 48° হয়, তাহলে ∠ADC-এর পরিমাপ হল
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFদেওয়া হয়েছে:
AB = AC এবং ∠BAC = 48°
ব্যবহৃত ধারণা:
একটি বৃত্তীয় চতুর্ভুজের বিপরীত কোণগুলির সমষ্টি = 180°
হিসাব:
∠ABC = ∠ACB [∵ AB = AC ]
∠BAC + ∠ABC + ∠ACB = 180°
সুতরাং, ∠ABC = ∠ACB = (180° - 48°)/2 = 132°/2 = 66°
এছাড়াও, ∠ADC + ∠ABC = 180°
⇒ ∠ADC + 66° = 180°
⇒ ∠ADC = 180° - 66° = 114°
∴ ∠ADC এর পরিমাপ 114°
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