### Proposition

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

### Poster of Problem 1412: Sketching, iPad, Typography, Art

See also:
Typography and poster of problem 1408.

###