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.