Question
Download Solution PDF∆ABC में, कोण B और कोण C के आंतरिक समद्विभाजक 105° के कोण पर प्रतिच्छेद करते हैं। कोण A का मान कितना है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
कोण B और कोण C के आंतरिक समद्विभाजक 105° के कोण पर प्रतिच्छेद करते हैं।
प्रयुक्त सूत्र:
एक △ABC में, यदि कोण B और C के आंतरिक समद्विभाजक D पर जुड़ा हो, तो
⇒ ∠BDC = 90° + ∠BAC/2
गणना:
∠BOC = 105°
कोण B और C के आंतरिक समद्विभाजक O पर जुड़े हुए हैं
∠BDC = 90° + ∠BAC/2
⇒ 105° = 90° + ∠BAC/2
⇒ 105° - 90° = ∠BAC/2
⇒ 15° = ∠BAC/2
⇒ ∠BAC = 30°
∴ T कोण A का मान 30° है।
Last updated on Jul 7, 2025
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