Question

The sides BA and DC of a quadrilateral ABCD are produced as shown in figure. prove that a+b = x+y.​

Answer 1

Answer:

As we know, sum of opposite angles of quadrilateral are supplementary i.e 180 degree

Step-by-step explanation:

So x + y = 180----------1)

Similarly sum of exterior angles is 180 degree if two lines are antiparallel that means not parallel.

So a + b = 180-----------2)

From equation 1) and 2)

180 = a+b=x+y

Thus, a+b=x+y

I hope it may help you.

Thank you

Answer 2

hope the attachment helps you