SphericalAngle
SphericalAngle[{θ0, ϕ0} -> {{θ1, ϕ1}, {θ2, ϕ2}}] gives the signed angle in radians between the great circles through point {θ0, ϕ0} and points {θ1, ϕ1} and {θ2, ϕ2}.
SphericalAngle[p -> {q, r}]gives the unsigned angle for points p, q, r of the form {θ1, θ2, ..., θn-1, ϕ} on an n-dimensional hypersphere.SphericalAngle[p -> {{q1, r1}, ..., {qn, rn}}]gives a list of angles between the great circles from point p through points qi and ri.SphericalAngle[{p1, ..., pn} -> {{q1, r1}, ..., {qn, rn}}]gives a list of angles between the great circles from point pi through points qi and ri.
Examples
SphericalAngle[{0, 0} -> {{Pi/4, 0}, {0, Pi/4}}]Please visit the official Wolfram Language Reference for more details.