Question

if x+y=w+z, then prove that AOB is a straight line

Answer 1

x+y+w+z=360(because it is a complete angle or a circle)
given that x+y=w+z
x+y+x+y=360
x+y=180
x+y is a line

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 ❤