If S is the sum of three angles of a spherical triangle, the spherical excess equals A. S – 90° B. S – 180° C. S – 270° D. S – 360°

The correct answer is $\boxed{\text{B. }S-180^\circ}$.

The spherical excess of a spherical triangle is the sum of its three interior

angles minus $180^\circ$. This is because the sum of the interior angles of a spherical triangle is always greater than $180^\circ$, due to the curvature of the sphere.

Option A is incorrect because the spherical excess is always less than $180^\circ$.

Option C

is incorrect because the spherical excess is always greater than $-180^\circ$.

Option D is incorrect because the spherical excess is always less than $360^\circ$.