Question

In the given figure, calculate $\angle x-\angle y$.

• A. $3^o$
• B. $6^o$
• C. ${87}^o$
• D. ${180}^o$

Answer 1

The correct option is B $6^o$

As seen in the image, $a={48}^o$, since they are vertically opposite angles.

Also, $b+135={180}^o$ since they form a linear pair.

So, $b={45}^o$

$x$ is the exterior angle of the triangle having angles $a,b,y$.

So, $x=a+b={48}^o+{45}^o={93}^o$

Since $x$ and $y$ form a linear pair, $y={180}^o-{93}^o={87}^o$

$\therefore x-y=93-87=6^o$