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In the given figure, AB = BC, BX = BY, then what can be the possible condition for AX?

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AX = CY

AX = BY

AX = BX

AX = AC

answer is B.

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Detailed Solution

Given that AB = BC and BX = BY.

We can use Euclid's axiom 3, which states, "If equals are subtracted from equals, the remainders are equal."

Subtract BX from AB and BY from BC:

AB - BX = AX, and BC - BY = CY

Since AB = BC and BX = BY, we can substitute to get:

AX = CY

Therefore, the possible condition for AX is AX = CY.

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