$\begin{align} & \text{If the angle of a quadrilateral are }{{(3y+10)}^{\circ }},\text{ }{{(2y+30)}^{\circ }},{{(y+20)}^{\circ }}\text{ and }4{{y}^{\circ }},\text{ } \\ & \text{Find the value of }y\text{ } \\ & \text{(A) 1}{{\text{2}}^{\circ }}\text{ (B) 3}{{\text{0}}^{\circ }}\text{ (C) 4}{{\text{2}}^{\circ }}\text{ (D) 6}{{\text{6}}^{\circ }} \\\end{align}$
$\begin{align} & \text{The total angle in a quadrilateral is 36}{{\text{0}}^{\circ }} \\ & \therefore \text{ }{{(3y+10)}^{\circ }}+{{(2y+30)}^{\circ }}+{{(y+20)}^{\circ }}\text{+ }4{{y}^{\circ }}={{360}^{\circ }} \\ & \text{ }{{(10y+60)}^{\circ }}={{360}^{\circ }} \\ & \text{ }y={{30}^{\circ }} \\\end{align}$