Question

In the following figure,if line $I||m$ then value of q is

• A. ${110}^o$
• B. ${70}^o$
• C. ${45}^o$
• D. ${25}^o$

Answer 1

The correct option is D ${25}^o$

We can see that,

$x+{45}^o={70}^o$ (Exterior angle Property)

$\Rightarrow x={70}^o-{45}^o={25}^o$

Now, $x=q={25}^o$ (Vertically Opposite Angles)