Question

angles ratio of quadrilateral is 1:2:3:4 what is the size of the greatest angle

Answer 1

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


A/Q,
X +2x+3x+4x = 360
= 10x = 360
= X = 36
The greatest angle = 4×36°
= 144°

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Answer 2

let the angle of quadrilateral be 1x 2x 3x 4x

1x+2x+3x+4x =360 ( angle sum property of quadrilateral)

10x = 360

x=360/10

×= 36

angle 1 × 36 = 36

angle 2 × 36 = 72

angle 3 × 36 = 108

angle 4 × 36 = 144 this is greater angle

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