आकृति में, O वृत्त का केंद्र है। यदि है, तो  की माप ज्ञात कीजिये।

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  1. 35º
  2. 125º
  3. 55º
  4. 145º

Answer (Detailed Solution Below)

Option 1 : 35º
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Detailed Solution

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दिया गया है:

अवधारणा:

अर्धवृत्त में बना कोण समकोण होता है।

एक वृत्त के एक ही खण्ड में बनने वाले कोणों की माप बराबर होगी।

गणना:

B और R को मिलाने पर BR बनती है।

∠ARS + ∠ARP = 180°  [रेखीय युग्म]

⇒ ∠ARP = 180° - 125° = 55° 

∠ARB = 90°    [अर्धवृत्त में बना कोण] 

⇒ ∠ARP + ∠BRP =  90° 

⇒ ∠BRP = 90° - 55° = 35° 

∠BRP = ∠PAB = 35°  [एक ही खंड में बने कोण]

∴ ∠PAB = 35°

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