Question

In the below figure, if x y w z    , then prove that AOB is a line.​

Answer 1

Step-by-step explanation:

X= z ( VOA)

y=w(VOA)

at point O

x+y+z+w= 360

x+y+x+y = 360(as x=z and y=w)

2(x+y)=360

x+y = 180

So, 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 ❤

Hope it helps ❤