Question

in the given figure if X + Y is equal to Z + w then prove that aob is a line

Answer 1

we know that x+y+w+z=360
if x+y=z+w then 2(x+y)=360
so x+y=180
hence it's a 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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