Question

© The angles of a quadrilateral are in the ratio
2:3: 4: 1. Find the measure of each ange
of the quadrilateral​

Answer 1

hope this answer will help you

Answer 2

Given ratio= 2:3:4:1

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

$2x + 3x + 4x + x = {360}^{o} (sum \: of \: angles \: of \: a \: quadrilateral)$

$or \: \: 10x = {360}^{o}$

$or \: \: x = \frac{360}{10} \\ x = {36}^{o}$

$2x = {72}^{o} \\ 3x = {108}^{o} \\ 4x = {144}^{o} \\ x = {36}^{o}$