Question

The value of $x$ in the following figure is:

• A. ${30}^o$
• B. ${45}^o$
• C. ${60}^o$
• D. none of these

Answer 1

Answer: (A)

Solution:

According to Law of Reflection

$\angle i=\angle r$

$\angle i={90}^{\circ }-{60}^{\circ }={30}^{\circ }$

$\angle i=\angle r={30}^{\circ }$

Now,

$\angle r=\angle x$ (Alternate interior angle)

or, $\angle r=\angle x={30}^{\circ }$

So, value of $x={30}^{\circ }$

Hence, A is the correct option.