Q7 of 49 Page 13

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

Theorem: The ratio of the intercepts made on a transversal by three parallel lines is equal to the ratio of the corresponding intercepts made on any other transversal by the same parallel lines.

⇒


⇒


⇒ x =


⇒ x = 6


Now,AE = AC + CE


= 12 + x


= 12 + 6


⇒ AE = 18


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