# Two circles with centres o and p intersect at a and b . prove that angle aop = angle bop

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AO and BO act as tangents to the circle with centre Pfrom external point O.

The line joining centre of circle to the external point bisects the angles formed b/w the two tangents and the radii.

Here <AOB is bisected by the line PO

thus <AOP = <BOP

HENCE, PROVED.