Question

x+y=w+z then prove that AOB IS A LINE​

Answer 1

Answer:

we know that

x+y+z+w= 360°

(x+y) +(w+z)= 360° -

(x+y) + (x+y)= 360° - given x+y=w+z

2(x+y)=360°

x+y=180°

since ,

w+z = x+y

w+z = 180°

therefore AOB is a straight line

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hheheheh

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 ❤