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  1. Chords AC and BD of a circle with centre O intersect at right angles at E. If ∠OAB = 25°, then the value of ∠EBC is
    1. 30°
    2. 25°
    3. 20°
    4. 15°
Correct Option: B

According to question , we draw a figure of a circle with centre O ,

From figure , OA = OB = radii
∠OAB = ∠OBA = 25°
∴ ∠AOB = 180° – 50° = 130°

∴ ∠BCA =
130°
= 65°
2

∴ ∠EBC = 90° – 65° = 25°



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