The angles of a quadrilateral are in the ratio $2:3:6:7$. The largest angle of quadrilateral is:

The correct option is A. ${140}^{\circ }$

We know that the sum of all of the angles of any quadrilateral is equal to ${360}^{\circ }$

$\Rightarrow 2x+3x+6x+7x={360}^{\circ }$

$\Rightarrow 18x={360}^{\circ }$

$\Rightarrow x={20}^{\circ }$

$\therefore 7x=7\times {20}^{\circ }={140}^{\circ }$