Question

in the figure we have ab=bc and bx=by show that ax=cy

Answer 1

ax = ab - bx

cy = bc-by (put bc=ab & bx = by)

= ab - bx

Answer 2

Given:

• AB = BC
• BX = BY

To Prove:

• AX = CY

Solution:

☞ We know that when equals are subtracted from equals, the remainders are Equal.

: AB = BC and BX = BY

$\implies$ AB - BX = BC - BY

$\implies$ AX = CY

Hence,

AX = CY.