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Join AO and CO
Tangent of a Circle is perpendicular to the radius at the point of contact
∠DAO=∠DCO=90°
In quadrilateral AOCD
∠D+∠A+∠O+90°=360°
50°+90°+∠O+90°=360°
Using central theorem
∠APC=360°-130°/2=115°
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