Question

Angles of a quadrilateral are in the ratio $3:4:4:7$ . Find all the angles of the quadrilateral.

Answer 1

angles of a quadrilateral $3:4:4:7$

sum of angles in a quadrilateral $={360}^{\circ }$

let the angles be $3x,4x,4x$ and $7x.$

then, sum $360$

$3x+4x+4x+7x=360$

$18x=360$

$x=20$

$3x=60,4x=80,7x=140$

$\therefore$ the angle of quadrilateral are ${60}^{\circ },{80}^{\circ },{80}^{\circ }$ and ${140}^{\circ }$