Hi you guys really seem to enjoy when i just try to be funny with random stuff as questions or just give out points so imma continue to do this because its fun ya know giving points to the needy lol just helping people in general it makes me feel all happy and warm insidel i just try to be nice so imma keep doing stuff like this til i run out ok!

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