from external point P tangents PA and PB are drawn to a circle with Centre O if angle PAB is equal to 50 degree find angle AOB
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As PA=PB as they are tangent
In ∆PBA base angles are equal
Thus angleAPB= 80
As the line PO passes through Centre it bisects The angle =>angle APO=PoB=40
In ∆PAO
angle PAB=90 as tangent to center
=>angle PAO=50
In ∆POB
=>POB=50 same as above
In ∆AOB
OA=OB radius of circle
=>AOB is isocelus
angle AOB=100
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