Triangle ABC is such that 
	  angle A = 35 degree and AC = BC + BI 
where I is the incenter of the triangle. Tangents at A and C to the circumcircle 
of triangle ABC meet in P and PQ is drawn parallel to BC to meet AB at Q. 
	  Find the measure of the angle BQC.
This entry contributed by Ajit Athle. 


See also: Typography and poster of problem 1408.
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