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In given figure,
AB // CD, and AD is transversal,
so <A and <D are on the same side of transversal,
we know that sum of the interior angles of the same side of transversal is 180°,
Therefore,
<A + <D =180°,
=> x+20°+2x+10° = 180°,
=> 3x + 30° = 180°,
=> 3x = 150°,
=> x = 50°,
similarly,
AB // CD, and BC is transversal,
therefore,
<B + <C = 180°,
=>y + 92° =180°,
=> y = 88°.
Hope it helps u....
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