Question

in the given figure if X + Y=w+zthen prove that AoB

Answer 1

Hey guys !!! here is ur answer...
ANSWER:
Given that ,
x+y=w+z
Now,
x+y+w+z = 360°
w+z+w+z=360°(as x+y=w+z)
2w+2z=360°
2(w+z)=360°
w+z=360°÷2
w+z=180°
But,it is a linear pair and thus It is a straight line (PROVED)
Hope this will help You...
Thanks....

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 ❤