Question

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

Answer 1

Sum of all side =360. Given that-x+y=w+z. We also write this 2(x+y)=360. so. X+y=360/2=180. Then x+y=180

Answer 2

Question :-

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

Answer :-

Sum of all the angles at a point = 360°

∴ x + y + z + w = 360° or, (x + y) + (z + w) = 360°

But (x + y) = (z + w) [Given]

∴ (x + y) + (x + y) = 360° or,

2(x + y) = 360°

or, (x + y) = 360° /2 = 180°

∴ AOB is a straight line.

Plz mrk as brainliest ❤