Question

In fig 6.16,ifx+y=w+z,then prove that AOB is a line

Answer 1

Answer:

see the step by step..

Step-by-step explanation:

x+y =180 (Liner pair angle)

so x+y-180=0 ........(1)

w+z = 180 ( liner pair angle)

w+z-180=0.......(2)

from eq.1& 2

x+y-180=w+z-180

x+y= w+z (proved)

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 ❤