Geometry Practice Test 2

ABCD is a square.
AC and BD are diagonals of the square.
∠AOB = 90°
∠CAB = 45°
and AO = AX
∠AOX = ∠AXO

In ΔAOX,
∠OAX + ∠AOX + ∠AXO = 180°
45° + x + x = 180°
2x = 180° - 45°
x = 135°
x = 67.5°
∠AOX = 67.5°
∠BOX = ∠AOB -∠AOX
∠BOX = 90° - 67.5°
∠BOX = 22.5°