In each of the following figures find the unknown angles when given line $l ∥ m$ and $n$ transversal

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Solution

From given figure,
$x + 112 ° = 180 °$ ( Linear pair)
$x = 180 ° - 112 ° = 68 °$
$y = 112 °$ ( Corresponding angle as $l ∥ m$ )
Hence, $x = 68 °$ and $y = 112 °$

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