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In the adjoining figure, $$P$$ is the centre of the first circle, which touches the other circle in $$C$$. $$PCD$$ is along the diameter of the second circle. $$\angle PBA = 20^\circ$$ and $$\angle PCA = 30^\circ$$.
[image]

The tangents at $$B$$ and $$D$$ meet at $$E$$. The measure of the angle $$x$$ is
TO BE FILLED - figure required. The exact chord/tangent connections around points $$A, B, C, D, E$$ cannot be pinned down precisely enough from the extracted description to guarantee the correct angle-chase without the original diagram.
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