Geometry Practice Test 7

AB is the diameter and P is the center.
∠ABC = 35°

PA = PC = radius
∠ACB = 90°
∠ABC+∠ACB+∠BAC = 180°
∠BAC = 180° − (90° + 35°)
∠BAC = 180° −125°
∠BAC = 55°
PA = PC = radius
⇒ ∠BAC = ∠PCA = 55°