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

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Solution

Since, the lines are parallel
$∠ O C D = ∠ O A B ∠ O D C = ∠ O B A$
and
$∠ D O C = ∠ A O B$ (Vertically Opposite Angle)

Hence, $△ O C D \sim △ O B A$
$3 x - 1 = 5 x - 3 \Rightarrow 2 x = 2 \Rightarrow x = 1$

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