Question

if x+yz=w+z,then prove AOB IS LINE BC​

Answer 1

Step-by-step explanation:

• x+y=w+z((given))

1. x+y+w+z=360°((angle around a point is 360°))
2. (x+y)+(w+z)=360
3. (w+z)+(w+z)=360
4. 2(w+z)=360
5. (w+z)=180

this implies AOB 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 ❤