Question 68
The vertices of quadrilateral $ABCD$ lie on a circle. Each diagonal bisects one angle and trisects the opposite angle. Find the measures of the quadrilateral’s angles.

Note: We say that ray $OM$ trisects $\angle AOB$ if one of the two angles it determines has one third the measure of $\angle AOB$.

Note: We say that ray $OM$ trisects $\angle AOB$ if one of the two angles it determines has one third the measure of $\angle AOB$.