### Proposition

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.

### Poster of Problem 1418: Sketching, iPad, Typography, Art

See also:
Typography and poster of problem 1408.