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They will also be supplementary
as <x+<z=180
and<x+<z+<y+< w=360
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Let the quadrilateral be ABCD; It is given that angle A+C(or any two opp. angle) = 180^ .Then sum of angle B+D will also be equal to 180^(i.e. supplymentry). Because angle A+B+C+D = 360^. 
Sum of interior angles of a polygon is given by - [ (n-2)180^ ] , where n is no. of sides of polygon.

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