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.
See also: Typography and poster of problem 1408.
Geometry Problems
Ten problems: 1401-1410
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Triangle
Circle
Incircle
Excircle
Tangent Line
Perpendicular lines
45 degrees
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