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The figure shows a regular pentagon
ABDE inscribed in a circle. If point F is on arc BC, prove that
a + d = b + c + e.
Geometry software that can be used to learn and research:
Geometry Expressions, Cabri, Cinderella, GeoGebra, Geometer Sketchpad, C.a.R., TracenPoche, Mathematica.
See also:
Ptolemy's Theorem
Pentagons
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