Question
Download Solution PDFदी गयी आकृति में ∠BOQ = 60° है और AB वृत्त का व्यास है। ∠ABO का मान ज्ञात कीजिये।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रमेय के अनुसार, अर्द्ध वृत्त में कोण समकोण होता है,
⇒ ∠BOA = 90°
प्रमेय: वैकल्पिक खंड प्रमेय के अनुसार संपर्क बिंदु के माध्यम से स्पर्शरेखा और जीवा के बीच का कोण वैकल्पिक खंड में कोण के बराबर है।
⇒ ∠BOQ = ∠BAO = 60°
चूँकि, त्रिभुज में सभी कोणों का योग 180° होता है
⇒ ∠ABO = 180° – ∠BOA – ∠BAO = 180° – 60° – 90° = 30°
Last updated on Jul 10, 2025
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