Question

ABCD is a quadrilateral .prove that x+y = a+b​

Answer 1

Answer:

angel BAD=(180-b). ( by linear pair )

angle BCD = (180-a). ( by linear pair)

Now by angle sum property of quadrilateral, we have

x+( 180-b) +y+(180-a) = 360

x+y-b-a=0

x+y=a+b