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Step-by-step explanation:
IN TRIANGLE AXB AND TRIANGLE BYC
ANGLE A = ANGLE C ( OPPOSITE ANGLES OF RHOMBUS ARE EQUAL)
AB = BC (ADJACENT SIDES OF RHOMBUS ARE EQUAL)
ANGLE BXA = ANGLE BYC ( EACH 90)
TRIANGLE BXA IS CONGRUENT TO TRIANGLE BYC BY AAS RULE
BY CPCT ( corresponding parts of congruent triangle)
BX = BY
OR BX IS CONGRUENT TO BY
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