Question:

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

CBSE Class IX

Updated On: Sep 17, 2024

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Solution and Explanation

x + y = w + z

It can be observed that, x + y + z + w then prove that AOB is a line.
$⇒$ $\text{ x+y+w+z = 360°}$

It is given that,
$\text{x+y = w+z}$
So, (x + y) +(x + y) = 360°
2(x + y) = 360°
∴ (x + y) = 180°
Since x and y form a linear pair, AOB is a line.

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