Two points AB and CD are to be planter on a lakebed, Which is represented by a sketch below. The lengths AO,BO,OD and CD are given by 1500 ft, 1000 ft, 500 ft and 250 ft respectively. The segments AD and BC intersect at O. $\angle BAO$ and $\angle CDO$ have same measurement . What can be the value of x

Question

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$\begin{array}{1 1} (a)\;750\; ft \\ (b)\;150\; ft \\(c)\;250\; ft \\(d)\;350\; ft\end{array}$