Question

prove that equal chord of a circle subtended equal angle at the center plzZzzzzzz help me

Answer 1

take a circle with given equal chords AB and CD with centre O. You want to prove that angle
AOB angle COD.
In ∆AOB and ∆COD
OA=OC. (radii of the circle)
OB =OD. (radii of the circle)
AB=CD. (given)
therefore,. ∆aob ~= ∆ cod. (sss)
this gives angle aob =angle COD (corresponding parts of congruent ∆)
Hence proved