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Maharashtra State BoardSSC (English Medium) 10th Standard

In the figure, if AB || CD || EF, then find x and AE by using the information given in the figure. - Geometry Mathematics 2

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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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