Question

the angle of quadrilateral are in ratio 1:2:3:4. find the measure of each

Answer 1

let the unit be x so the numbers are x 2x 3x and 4x
as we know measure of all angles are 360 degree

so According to question the equation is
x +2x+3x+4x=360
10x =360
x=36

so now the angles are x=36
2x=72
3x=108
and 4x=144

hope it helps

Answer 2

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

Let the angles are x, 2x, 3x, 4x

Since  we know that sum of all angles of a quadrilateral is 360,

                  $x+2x+3x+4x=360$

                          $10x=360$

                            $x=36$

therefore the angles are 36, 72, 108, 144

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