Answer:
x = 2
Step-by-step explanation:
The measure of a secant- tangent angle is half the difference of the measures of the intercepted arcs.
∠ KLN is a secant- tangent angle, then
∠ KLN = [tex]\frac{1}{2}[/tex] (mKN - mKM ) ← substitute values
16x - 2 = [tex]\frac{1}{2}[/tex] (156 - 96 )
16x - 2 = [tex]\frac{1}{2}[/tex] (60)
16x - 2 = 30 ( add 2 to both sides )
16x = 32 ( divide both sides by 2 )
x = 2
