Question

In given fig, if x + y = w + z, then prove that AOB is a line.

URGENT!!!

Answer 1

Angle BOA on the right hand side = w + z  = A  , let us say
Angle BOA on the left hand side = x + y = A

Both angles are same at O. 
Sum =  360  total sum of all angles at any point O
A + A = 360
A = 180    or w+z is 180 deg

Since angle BOA is 180 degrees, it means BO and OA are collinear, that is BOA is a straight line.

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______❤

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