MathDB

8.7

Part of 2021 Sharygin Geometry Olympiad

Problems(1)

CE bisects BD in pentagon with equal angles CAB, BCA, ECD, DEC , AEC

Source: 2021 Sharygin Geometry Olympiad Finals grade VIII p7

8/2/2021
Let ABCDEABCDE be a convex pentagon such that angles CABCAB, BCABCA, ECDECD, DECDEC and AECAEC are equal. Prove that CECE bisects BDBD.
geometryequal anglesbisects segment