Question
Download Solution PDFनीचे दी गई आकृति में, PQ केंद्र O वाले वृत्त का व्यास है। यदि ∠QOR = 100° है तो ∠PSR की माप क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
PQ एक व्यास है।
∠QOR = 100°
प्रयुक्त अवधारणा:
वृत्त के केंद्र पर जीवा द्वारा बनाया गया कोण वृत्त की परिधि पर किसी भी बिंदु पर बनाए गए कोण का दोगुना होता है।
गणना:
⇒ ∠QOR + ∠ROP = 180°
⇒ ∠ROP = 180 - 100 = 80°
∠ROP = 2 × ∠PSR
⇒ ∠PSR = 80/2 = 40°
∴ सही उत्तर 40° है।
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