Question

the four angle of a quadrilateral are in ratio 1:2:3:4 what is the measure of each angel?

Answer 1

Let the angles A, B, C and D be  x, 2x, 3x and 4x respectively

x+ 2x + 3x + 4x = 360 deg           in a quadrilateral all angles sum to 360 deg

10 x = 360

x = 36 deg

A = 36 deg    B = 72 deg    C  = 108 deg    D = 144 deg

Answer 2

let the ratio be x,2x,3x and 4x

ATQ- x+2x+3x+4x = 360(sum of all angles of quadrilateral is 360)

10x = 360

x = 360/10

x=36

angles-

x = 36

2x=72

3x =108

4x =144

therefore the angles are 36,72,108 and 144

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