Question:

In figure 1.41, if AB || CD || FE then find x and AE.

Answer:

From figure BD = 8, DF = 4, AC = 12 and CE = x
Given ABCDFE
BD/DF = AC/CE [Property of three parallel lines and their transversals]
8/4 = 12/x
x = 12×4/8
x = 6
CE = 6
AE = AC+CE
AE = 12+6
AE = 18
Hence measure of x is 6 units and AE is 18 units.

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In figure 1.41, if AB || CD || FE then find x and AE.

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