Question

plz answer this fast

Answer 1

By complete angle property
X+y+w+z=360
x+y+x+y=360(given x+y=w+z)
2x+2y=360
2(x+y)=360
x+y=180
Hence AOB is a line

Answer 2

Hey !!!

solution :-

need to be proove <AOB = 180°

As we know that around any point angle made 360 ° so we can say that point O have 360°

< O = 360°
given ;- x + y = w + z -------1)

but , <AOB = w + z ---------2)

And , x + y + w + z = 360° ( around a point 360° angle }

=> w + z + w + z = 360° {from 1 }

=> 2w + 2 z = 360°

=> 2 ( w + z ) = 360°

=> w + z = 180 ° (linear pair ]

so, w + z = 180 ° (from linear pair]

<AOB = 180°

we can conclude that AOB is a straight line .

**********************************†*******

Hope it helps you !!!

@Rajukumar111