Question

the angle of a quadrilateral is in ratio 1 ratio 2 ratio 3 ratio 4 find the measure of each angle​

Answer 1

Hi friend!!

Let the angles of the quadrilateral be x,2x,3x,4x

we know that sum of angles of a quadrilateral =360

x+2x+3x+4x=360

10x=360

x=36

The angles of the quadrilateral are 36,72,108,144

I hope this helps you;)

Answer 2

Answer :-

$\sf{Let\ the\ sides \ of\ quadrilateral\ are\ :-}$

$\sf{1x, 2x, 3x, 4x.}$

According To Question :-

$\implies{\sf{1x + 2x + 3x + 4x = 360 \textdegree}}$

$\implies{\sf{10x = 360}}$

$\implies{\sf{x = \dfrac{360}{10}}}$

$\implies{\sf{x = 36 \textdegree}}$

$\sf{First\ angle\ = 36 \textdegree}$

$\sf{Second\ angle\ = 2 (36) = 72 \textdegree}$

$\sf{Third\ angle\ = 3 (36) = 108 \textdegree}$

$\sf{Fourth\ angle\ = 4 (36) = 144 \textdegree}$

So, the four angles are :-

$\boxed{\sf{36 \textdegree, 72 \textdegree, 108 \textdegree, 144 \textdegree}}$