Question

The angles of a quadrilateral are in the ratio $2:4:5:7$. Find the angles.

Answer 1

$2:4:5:7$

Let $x$ be the common multiple.

$2x+4x+5x+7x=360$

Sum of angles in a quadrilateral is ${360}^0$

$18x=360$

$x=20$

$\therefore$ $2x=2\times 20=40,4x=4\times 20=80,5x=5\times 20=100,7x=7\times 20=140$

$40,80,100,140$ are angles of quadrilateral.