Question

The angles of a quadrilateral are in the ratio $1:2:3:4$. Then the angles of the quadrilateral are

• A. ${144}^0,{108}^0,{60}^0,{48}^0$
• B. ${144}^0,{108}^0,{72}^0,{36}^0$
• C. ${30}^0,{60}^0,{90}^0,{120}^0$

Answer 1

The correct option is B ${144}^0,{108}^0,{72}^0,{36}^0$

Let the smallest angle of quadrilateral be $x^{\circ }$.
Then, the angles of the quadrilateral will be $x^{\circ }$, $(2x{)}^{\circ }$, $(3x{)}^{\circ }$ and $(4x{)}^{\circ }$.