[net.puzzle] Geometry Puzzle

pizer@ecsvax.UUCP (07/08/84)

The following problem was taken off a National High School Math Exam test
several years ago.  It appears easy, but ends up being fairly difficult
to work out.  I can't draw the figure for you,however I can describe it
It is a semicircle with diameter CAF, with C & F being on the semicircle
and A being the center.  Point B is a point on the semicircle such that
angle BAC is 40 degrees.  Point E is a point on segment AF such that angle
ABE is 10 degrees.  Finally, point D is a point on the semicircle, and not
point B such that angle ADE is also 10 degrees.  Find angle DAF.  Good
luck!

Billy Pizer
(mcnc!ecsvax!pizer)
{geometry forever!}