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From the adjacent figure $\bar{A B} / / \bar{C D}$ .then the values of $x a n d y$ respectively are

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$74 °$

$A a n d B$

$63 °, 11 °$

$11 °, 63 °$

answer is A.

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Detailed Solution

$∠ a = 52 °$

in triangle ACD, $∠ D + ∠ B = 90$

$3 y + 5 + 52 ° = 90 °$

$3 y = 90 ° - 57 °$

$3 y = 33 °$

$y = 11 °$

sum of the angles $= 360 °$

$∠ A + ∠ B + ∠ C + ∠ D = 360 °$

$x + a + 3 y + 5 + 90 + 52 + 65 = 360 °$

$x + 297 = 360 °$

$x = 63 °$

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