In the figure given below, find 'x' if AB || CD.

45°

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55°

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60°

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70°

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Solution

The correct option is B
55°

From the given figure,

$∠ E C D = 180^{\circ} - 150^{\circ} = 30^{\circ}$ (sum of interior angles on the same side of the transversal is 180 $^{\circ}$ )
$x = ∠ B C D = 25^{\circ} + ∠ E C D$ (alternate interior angles)
$= 25^{\circ} + 30^{\circ} = 55^{\circ}$

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