Question

In the given figure, if x+y=w+z, then prove that AOB is a straight line.
13.

Answer 1

X+y + w+z = 360 degree
X+y+x+y=360. (X+y=w+z)
2(x+y)= 360
X+y = 180
On adding x and y the sum of angles is 180 degree therefore AOB is a line

Answer 2

Question :-

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

Answer :-

Sum of all the angles at a point = 360°

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

But (x + y) = (⇒ + 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 ❤