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Given lines 1, m and n are all parallel and cut by two transversal lines, find the value of x. 11 m 33 6 n

Given lines 1, m and n are all parallel and cut by two transversal lines, find the-example-1

1 Answer

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In the given figure, lines l, m, and n are parallel.

These parallel lines are cut by two transversal lines proportionally.

So, we can set up the following proportion.


(x)/(6)=(11)/(33)

Let us solve for x.


\begin{gathered} (x)/(6)=(11)/(33) \\ x=6\cdot(11)/(33) \\ x=2 \end{gathered}

Therefore, the value of x is 2

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