Angles of a quadrilateral are in the ratio $3 : 4 : 5 : 8$ . The smallest angle is

20^{\circ}

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54^{\circ}

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36^{\circ}

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18^{\circ}

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Solution

The correct option is B $54^{\circ}$
Let the angles be $3 x, 4 x, 5 x$ and $8 x$
$3 x + 4 x + 5 x + 8 x = 360^{\circ}$
$20 x = 360^{\circ}$
$x = 18^{\circ}$
$∴$ Smallest angle $= 3 \times 18^{\circ} = 54^{\circ}$ .

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