Question

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

Answer 1

hey here is ur answer

from figure,

x+y=w+z(given)

x+y+w+z=360(complete angle)

2x+2y=360(x+y=w+z)

2(x+y)=360

x+y=360/2

x+y=180

since AOB = 180

therefore AOB is a line

I hope this 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______❤

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