circle theorems (cyclic quadrilateral )

[VeniVidiVici]

First image is the question . Second image is my solution or where i am stuck . Help ?

 

[Steven G]

You are given two lines are parallel but have not labeled the angles correctly. Please correct that and show us some work so that we can have a starting point to help you.

 

[VeniVidiVici]

This is what i have so far.. not sure how to go ahead.

 

[Dr.Peterson]

This is what i have so far.. not sure how to go ahead.

Try drawing in line EO, and then think about the arcs intercepted by the angles you are interested in.