Question

The lengths of two chords AB and CD of a circle with centre O are equal. If angle AOB=60°,then the value of angle COD is?

Answer 1

here's your answer buddy

Answer 2

The value of ∠COD= 60°

Step-by-step explanation:

Given: AB= CD and ∠AOB=60°

To find: ∠COD

In the attached figure

Consider Δ AOB and ΔCOD

AO=OC             (Radius of circle)

BO=OD             (Radius of circle)

AB=CD              (Given)

Therefore

Δ AOB ≅ ΔCOD   (Side-Side-Side criteria)

Hence

∠COD=∠AOB =60° (Corresponding Parts of Congruent Triangles)

#Learn more

If the angle subtended by the chord of a circle at the centre are equal then the chords are equal

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