Geometry Practice Test 7

Both ABCD and AXYZ are squares.
In ΔAXB and ΔAZD,
AX = XZ
AD = AB
sides of square
∠1+∠2 = 90°
∠2 +∠3 = 90°

From this it is clear that
∠1 = ∠3
ΔAXB = AZD by (SAS)
∠BX = DZ by CP.C.T