Question
In the we have AB = BC, BX = BY. Show that AX = CY.

Answer

We have AB = BC ....(i) [Given]
And BX = BY ....(ii) [Given]
Subtracting (ii) from (i), we get
AB - BX = BC = BY
Now, By Euclid axiom 3, we have
If equals are subtracted from equals, the remainder are equal.
Hence, AX = CY

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