Question

What will be the angles subtended by the equal chords at the centre of same circle​

Answer 1

Step-by-step explanation:

Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.

Let us consider two chords of a circle with centre O as shown the two chords beAB and CD

As given in this question two chords are equal so

AB=CD

To prove:∠AOB=∠DOC

Now let us consider the△AOB and △DOC

AO=OD (radius of the circle )

AB=CD ( given )

$$ OB = OC (radius of circle )

∴ΔAOB≅ΔDOC (SSS congruency rule )

∴∠AOB=∠DOC

Hence, poved