Question

in the adjoining figure the sides BA and DC of a quadrilateral ABCD have been produced to E and F respectively.
prove that: a+b=x+y
(see hint in the picture).

Answer 1

angle b =angle y(alternative angles)
angle a =angle x(alternative angles)
so,
a+b=x+y
a+b=a+b(x=a;y=b)
hence, proved.

Answer 2

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