Angle with tangent

Geometry Level 3

In the figure above, the line \(BD\) is tangent to the circle at \(C\). The line \(AD\) passes through the centre \(O\) of the circle and intersects the circle at \(E\).

It is given that \(\angle CDE=34^{\circ}\) and \(\angle DCE=x^{\circ}\).

Find the value of \(x\).

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