Question

AB and CD are two equal chords of the given circle with centre O. Prove that the suburbs angles of the chords at the centre are equal. ​

Answer 1

Step-by-step explanation:

In∆OAB & ∆OCD:

OA=OC(RADIUS)

OB=OD(RADIUS)

AB=CD(GIVEN)

HENCE,∆OAB =~ ∆OCD(SSS-CRITERIA)

HENCE angleAOB=angleCOF proved✓✓

Answer 2

Answer:

According to circle theorem:- equal chord make equal angle at centrre.

or

<BOA=<COD

This can be prove by taking triangle BOA and COD

Step-by-step explanation:

in triangle BOA and COD

AB = CD (given)

AO = OD (Radii of circle)

BO = OC (Radii of circle)

So,

Triangle BOA congruent triangle COD

SO <BOA = <COD. (CPCT)

I hope it will help you.