Question

Look at the following figure and fill in the blanks :

If $\angle AOB=45°$, then $\angle BOC=$……………….

Answer 1

Linear Pair :

A linear pair can be defined as two adjacent angles that add up to $180°$ or two angles that form a line or a straight angle when combined together. As given in the figure :

So, $\angle 1$ and $\angle 2$ form a linear pair.

Similarly, as per the question :

$\angle AOB$ and $\angle BOC$ form a linear pair.

So, $\angle AOB+\angle BOC=180°$

$\Rightarrow 45°+\angle BOC=180°$ ($\because$it is given as $\angle AOB=45°$)

$\Rightarrow \angle BOC=180°-45°$ (By transposing $45°$from L.H.S. to R.H.S.)

$\Rightarrow \angle BOC=135°$

Hence, the required value of $\angle BOC$ is $135°$.