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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 `1:2:4:5` . 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,4x,5x`
from angle sum
sum of all angles`=360^@`
`x+2x+4x+5x=360^@`
`x=30^@`
so angles are`30^@,60^@,120^@,150^@`
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