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Condition for Two Lines to Be Parallel

In fig., if ...

Question

In fig., if $A B ∥ C D$ , find the value of $x$

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Solution

if $A B | | C D$ then

$A C = B D$ [From fig.]

$4 + 4 x - 2 = 2 x + 4 + x + 1$

$4 x + 2 = 3 x + 5$

$x = 3$ .

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