On the Moon, Jim had a weight of 27.5 lbf (27.5 pounds-force).
The force of gravity on the Moon is one sixth of that on Earth. How much did Jim weigh on Earth?
A
4.583 lbf
B 27.5 lbf
C
137.5 lbf
D
165 lbf

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