The angular momentum is the linear momentum (M*v) times the perpendicular distance from the line of motion to the axis. Crossing the x axis at point X and angle (with the positive x-axis) of θ, the perpedicular distance from the origin is X*sinθ The angular momentum is then
M*v*X*sinθ
(Check: if θ = 0, the path of motion goes through the origin and the angular momentum is zero.)