Recall that two circles are congruent if they have the same radii. Prove that equalchords of congruent circles subtend equal angles at their centres.
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Let `AB` and `CD` are two equal chords of two congruent circles with Centre `O` and `O'`. i.e `AB=CD`.
In `/_\AOB` and `/_\CO'D`
`AB=CD`
`OA=O'C` (Radii of congruent circles).
`OB=O'D` (Radii of congruent circles).
Thus,
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