Question

in the figure X + y = w + Z then prove that AOB is a line

Answer 1

The lines are intersecting so X=Z and y=w

X+y+w+Z=360°
(X+y)2=360°
X+y=180°
and also w+Z=180°

soo AOB is line if it is not line then sum won't be 180°

HOPE IT HELPS YOU

Answer 2

☺ Hello mate__ ❤

◾◾here is your answer...

Given:  x+y=w+z             (1)

To prove: AOB is a line

Proof:    x+y+w+z=360°       (Sum of all angles around point=360°)

Putting (1) in the above equation, we get

x+y+x+y=360°

⇒2x+2y=360°

⇒x+y=360°/2=180°

Therefore, x and y form a linear pair

Hence, AOB is a straight line.

I hope, this will help you.

Thank you______❤

✿┅═══❁✿ Be Brainly✿❁═══┅✿