Question

Recall that two circles are congruent if they have the same radi, Prove that equal
chords of congruent circles subtend equal angles at their centres
Prove that if chords of congruent circles subtend equal angles at the centre the
the chords are equal.​

Answer 1

Two circles are said to be congruent if and only if their radii are equal. Let AB & CD are two equal chords of two congruent circles with Centre O and O'. i.e AB= CD. Hence, equal chords of congruent circles subtend equal angles at their centres.

or

Answer 2

➪HOPE IT HELPS YOU....✌️✌️