Question

State whether the following statement is true or false.

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

• A. True
• B. False

Answer 1

The correct option is A True

It can be observed that :

$x+y+w+z={360}^o$

It is given that :

$x+y=z+w$

$x+y+x+y={360}^o$

$2(x+y)={360}^o$

$x+y={180}^o$

Since x and y form a linear pair, therefore, AOB is a line.