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In the adjoining figure, if AB = BC and...

In the adjoining figure, if AB = BC and BX =BY, then show that AX=CY

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we have , AB=BC …(i)
and BX =BY ...(ii)
According to Euclid's axiom , if equals are subtracted from equals , the remainders are equal. So . on Subtracting Eq. (i) , we get
AB -BX =BC -BY
`rArr` AX=CY ["From figure"]
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