Question
Download Solution PDFकेंद्र O वाले एक वृत्त का व्यास AB है। P इस पर एक बिंदु है। यदि ∠AOP = 95° है, तो ∠OBP __________ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
केंद्र O वाले एक वृत्त का व्यास AB है।
प्रयुक्त सूत्र:
रैखिक युग्म कोण, सरल रेखा पर कोण = 180°
गणना:
∠AOP = 95 °
∠POB = ( 180 ° - 95 °) = 85°
∆ POB = ∠P = ∠B (समद्विबाहु त्रिभुज)
⇒ ∠POB = 85°
∆ POB = ∠POB + ∠ OBP + ∠ BPO = 180°
⇒ 180° = 85°+ 2 × ∠OBP
⇒ 95/2 = ∠OBP
⇒ 47.5° = ∠OBP
∠OBP का मान 47.5° है।
Shortcut Trick∠OBP = ∠AOP का 1/2
∠OBP = 95 का 1/2 = 47.5
Last updated on Jul 21, 2025
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