Question 15
Given a circle with center $O$, four tangent lines are drawn to the circle so that these four lines determine the trapezoid $ABCD$, with bases $AB$ and $CD$, and non-parallel sides $BC$ and $DA$. If $AO = 2\sqrt{6}$, $BO = 4\sqrt{3}$ and $CO=4$, calculate the measurements of the sides and angles of the trapezoid.