Since the apex angle is bisected....we have the following relationship
(x + 1) / 16 = (x - 2) / (x + 1) cross-multiply
(x + 1) ( x + 1) 16 ( x - 2)
x^2 + 2x + 1 = 16x - 32 rearrange as
x^2 - 14x + 33 = 0 factor
(x - 11) ( x - 3) = 0
Set each factor to 0 and solve for x and we have that
x = 11 and x = 3