Find the measurements of the angles of quadrilateral if they are in ratio of $2 : 3 : 4 : 6$

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Solution

It is known that the sum of the four angles is $360^{\circ}$ . So,

$2 x + 3 x + 4 x + 6 x = 360^{\circ}$

$15 x = 360^{\circ}$

$x = 24^{\circ}$

Therefore, the measure of each angle is,

$2 x = 2 (24) = 48^{\circ}$

$3 x = 3 (24) = 72^{\circ}$

$4 x = 4 (24) = 96^{\circ}$

$6 x = 6 (24) = 144^{\circ}$

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