Question

the angles of a guadrilateral are in the ratio 1:2:3:4. find the measure of the largest angle

Answer 1

Let the angles be 1x 2x 3x and 4x .
We know that the sum of all the angles of a quadrilateral is 360. So,

1x+2x+3x+4x=360
10x= 360
x= 36..

Now the largest angle is 4x= 4*36
= 144

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Answer 2

let the angles be 1x,2x,3x,4x
so the the sum of all the angel of quadrilateral is 360 degree.
= 1x+2x+3x+4x=360
= 10x=360
=x= 360/10= 36
therefor the measure of the largest angle= 144 degree