Question
Download Solution PDFएक वृत्त में, ABCD एक चक्रीय चतुर्भुज है। AC और BD एक दूसरे को P पर प्रतिच्छेदित करती हैं। यदि AB = AC और ∠BAC = 48° है, तो ∠ADC की माप कितनी है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
AB = AC और ∠BAC = 48°
प्रयुक्त अवधारणा:
एक चक्रीय चतुर्भुज के विपरीत कोणों का योग = 180°
गणना:
∠ABC = ∠ACB [∵ AB = AC]
∠BAC + ∠ABC + ∠ACB = 180°
इसलिए, ∠ABC = ∠ACB = (180° - 48°)/2 = 132°/2 = 66°
साथ ही, ∠ADC + ∠ABC = 180°
⇒ ∠ADC + 66° = 180°
⇒ ∠ADC = 180° - 66° = 114°
∴ ∠ADC की माप 114° है।
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