Mathematics, 09.07.2021 14:00 mihir50

(a) A pentagon ABCDE has sides AE and CD parallel and the line EC is parallel to side AB. Sides ED and BC, when extended, meet at a
point F. ZABC is equal to ZCDE. Show that ZAEC = ZCFD.
(b) If, furthermore, triangles EDC and DFC are both isosceles, with
ED = DC and DF = FC, find the angles of the pentagon.

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