∠ABX is an inscribed angle. The measure of an inscribed angle is half the measure of the intercepted arc ⇒ arc AX = 2*∠ABX = 2 * 64 = 128°
The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the <span>intercepted arcs </span>⇒ ∠ACB = (arc AB - arc AX)/2 = (152 - 128)/2 = 24/2 = 12°