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I used to like these when I was at school.  I am not going to do it...  but in ALL cases with these I would advise drawing the triangles out as described...  you can then look for equivalent angles etc...  or whatever tricks you know...  but it is MUCH easier once drawn out.

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Actually I am struggling to see an easy solution - I am pretty sure that with enough leg work I could manage a complex very involved answer; but these sorts of questions tend to resolve to a few lines of proof.  Just cannot see it yet - maybe I have missed something obvious

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