Question:
In the adjoining figure, if AB = BC and BX = BY, then show that AX = CY
Solution:
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. (ii) from Eq. (i), we get
AB- BX = BC – BY
=> AX = CY [from figure]
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