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In a quadrilateral ABCD , the angles A ,...

In a quadrilateral `ABCD` , the angles `A , B , C and D` are in the ratio `1:2:3: 4.` Find the measure of each angles of the quadrilateral.

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Verified by Experts

"let the angles A,B,Cand D `=x,2x,3x,4x`
from angle sum
sum of all angles`=360^@`
`x+2x+3x+4x=360^@`
`x=36^@`
so angles are`36^@,72^@,108^@,144^@`
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