In spherical geometry, which of the following statements is true? A. There is no line that passes through the endpoints of a diameter of a sphere.
B. There is only one line that passes through the endpoints of the diameter of a sphere.
C. There are infinitely many points that pass through the endpoints of the diameter of a sphere.
D. There are infinitely many lines that pass through two points on a sphere that are not the endpoints of a diameter.

a

Step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq