Question

The sides ba and dc of a quadrilateral abcd are produced ,prove that x°+y°=a°+b°

Answer 1

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Answer 2

DAB = 180-b (LP)

DCB = 180-a (LP)

(180-b) + (180-a) (x+y) ASP of a quadrilateral

360-(a+b) + (x+y) = 360 -360 = 0

x+y = a+b