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Find the value of x and ∠A.

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20° and 124°

22° and 124°

25° and 67°

36° and 67°

answer is B.

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Detailed Solution

In a quadrilateral,

$∠ A + ∠ B + ∠ C + ∠ D = 360^{0}$

Angle sum property of a quadrilateral

$5 x + 14 + 4 x - 9 + 4 x + 2 + 3 x + 1 = 360^{0}$

$16 x + 8 = 360^{0}$

$16 x = 352^{0}$

$x = \frac{352^{0}}{16}$

$x = 22^{0}$

$∠ A = 5 x + 14$

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