Answer:
∠x = 120°
Explanation:
Any tangents which intercept radius lines will be perpendicular to it, meaning they form 90 degree angles, meaning:
∠P = 90
∠N = 90
Furthermore, all the line combined form a quadrilateral, or a shape with a combined angle size of 360, based off this:
90 + 90 + 60 + x = 360
240 + x = 360
x = 120