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Given PA & PB are tangent to the circle with center O.
PA=PB [length of tangent from external point to circle are equal]
In ΔPAB
PA=PB
∠PBA=∠PAB [isosceles triangle]
now ∠PAB+∠PBA+∠APB=180o [Angle sum prop]
2∠PAB=180−50=130
∠PBA=∠PAB=65o ………..(1)
Now PA is tangent & OA is radius at point A.
∠OAP=90o [tangent at any point is ⊥ to radius]
∠OAB=∠OAP−∠PAB=90−65=25o
Hence angle OAB is 25o.
Explanation:
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