Question
Download Solution PDFकेंद्र O वाले एक वृत्त का व्यास AB है। AB के दोनों ओर वृत्त पर C और D दो बिंदु इस प्रकार हैं, कि ∠CAB = 52° और ∠ABD = 47° हैं। ∠CAD और ∠CBD के मापों में अंतर (डिग्री में) क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
∠CAB = 52° और ∠ABD = 47°
प्रयुक्त अवधारणा:
परिधि पर किसी भी बिंदु पर व्यास द्वारा बनाया गया कोण 90°के बराबर होता है
गणना:
अवधारणा के अनुसार,
∠ACB = ∠ADB = 90°
इसलिए, ∠CBA = 180° - (90° + 52°)
⇒ 180° - 142°
⇒ 38°
इसी प्रकार,
∠BAD = 180° - (90° + 47°)
⇒ 180° - 137°
⇒ 43°
इसलिए, ∠CAD = 52° + 43°
⇒ 95°
∠CBD = 38° + 47°
⇒ 85°
अब,
∠CAD - ∠CBD = 95° - 85°
⇒ 10°
∴ ∠CAD और ∠CBD के मापों के बीच का अंतर (डिग्री में) 10 है।
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