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The angles of a quadrilateral are in the ratio $1 : 3 : 7 : 9$ the measure of the largest angle is

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162°

72°

81°

80°

answer is A.

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Detailed Solution

: Let the angle be $x °, 3 x °, 7 x °, 9 x °$
$\begin{array}{l} x^{\circ} + 3 x^{\circ} + 7 x^{\circ} + 9 x^{\circ} = 360^{\circ} \\ 20 x^{\circ} = 360^{\circ} \\ x^{\circ} = 18^{\circ} \end{array}$
Largest angle is $9 \times 18 ° = 162 °$

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