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  1. O is the centre and arc ABC subtends an angle of 130° at O. AB is extended to P. Then ∠PBC is
    1. 75°
    2. 70°
    3. 65°
    4. 80°
Correct Option: C

On the basis of question we draw a figure of a circle with centre O and arc ABC subtends an angle of 130° at O ,

Given that , ∠AOC = 130°

⇒ ∠ADC =
1
× 130° = 65°
2

∠PBC = ∠ADC = 65°



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