Zig Zag Zig Zag

Geometry Level 3

An infinite series of similar triangles converge to a point C . If AE=16,ED=8 \overline{AE} = 16 , \overline{ED} = 8 . Denote xx as the sum of all the vertical segments: AE+BD+ \overline{AE} + \overline{BD} + \ldots

Find the value of xx.

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