Question

The four angles of a quadrilateral are in the ratio $1:2:3:4$. Find the measure of each angle of the quadrilateral.

Answer 1

Given the four angles of a quadrilateral are in the ratio 1:2:3:4

Then Let the angles are $x,2x,3x$ and $4x$

We know that total of four angles of a quadrilateral$={360}^0$

$\therefore x+2x+3x+4x=360$

$\Rightarrow 10x=360$

$\Rightarrow x={36}^0$

hence the measures of angles are ${36}^0,{72}^0,{108}^0,{144}^0$