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Question
In the figure, if AB || CD || EF, then find x and AE by using the information given in the figure.

Sum
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Solution
seg BA || seg DC || seg FE, FB and EA are transversals.
∴ `"BD"/"DF" = "AC"/"CE"` ...[Property of three parallel lines and their transversals]
∴ `8/4 = 12/x`
∴ 8x = 48
∴ x = 6
∴ CE = x = 6
AE = AC + CE
∴ AE = 12 + 6
∴ AE = 18
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