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  1. In the figure below, AB is a chord of a circle with centre O. A tangent AT is drawn at point A so that ∠BAT=50°. Then ∠ADB=?

    1. 120°
    2. 130°
    3. 140°
    4. 150°
Correct Option: B

As per the given in question ,

∴ Here , ∠BAT = 50°
OA = OB = radii
∠OAT = 90°
∴ ∠OAB = ∠OBA = 90° – 50° = 40°
∴ ∠AOB = 100°

∴ ∠AEB =
100°
= 50°
2

ADBE is a cyclic quadrilateral.
∴ ∠ADB = 180° – 50° = 130°



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