Question

in future, if x+y=w+z, then prove that AOB is a line.​

Answer 1

Answer:

x+y = w+z ….(1)

Now,

We know that

x+y+w+z = 360 degrees ….(2)

This is because it forms a complete angle

Now replace w+z in (1) with x+y and put it in (2)

x+y+x+y = 360

2 (x+y) = 360

x+y = w+z = 180

This shows that AOB is a line because x+y forms a linear pair

Hence Proved