### Proposition

The figure below shows a right triangle ABC (angle B = 90 degree)
with the incircle I tangent to BC at D. The excircle E corresponding to BC is
tangent to AB and AC extended at F and G, respectively. Prove that the
measure of the angle DBG is 45 degree.

### Poster of Problem 1410: Sketching, iPad, Typography, Art

See also:
Typography and poster of problem 1408.

###