Question

In figure, if x+y=w+z, then prove that AOB is a line .

Answer 1

x+y+w+z - 360
x+y+x+y - 360 ( x+y-w+z)
2(x+y)-360
x+y -360/2
x+y-180(linear pair)

Answer 2

Hey Mate
your answer is here

we know that
x+y+w+z = 360°
bcoz
x+y = w+z
so,
x+y = 360/2 = 180°

and
w+z = 180°

so,
AOB is a line