prove that the line of centers of two intersecting circle subtends equal angles at the two points of intersection.
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In ∆ ACB and ∆ ADB
AC = AD ( Radii of circle with center A )
BC = BD ( Radii of circle with center B )
AB = AB ( common )
so,by SSS criterion of congruence
∆ ACB perpendicular to ∆ ADB
⇒ACB = ADB
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