in the given figure the circles with centre o has chords ab=bc=cd=de . prove that ad=be

soumili

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in the given figure the circles with centre o has chords ab=bc=cd=de . prove that ad=be
 

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in the given figure the circles with centre o has chords ab=bc=cd=de . prove that ad=be
Because ab=deab=de we get m(AB^)=m(ED^)m(\widehat{AB})=m(\widehat{ED}).
From which we get m(ABD^)=m(BCE^)m(\widehat{ABD})=m(\widehat{BCE})
Does that imply ab=be ?ab=be~? WHY?
 
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