Question

In the given figure, $m||n$ and $\angle 1={50}^o$ then find $\angle 5$.

• A. ${130}^o$
• B. ${60}^o$
• C. ${70}^o$
• D. ${180}^o$

Answer 1

The correct option is A ${130}^o$

We can see that $\angle 1+\angle 4={180}^o$ (Supplementary Angles)

$\Rightarrow \angle 4={180}^o-\angle 1={180}^o-{50}^o={130}^o$

Now , as $m||n$

$\therefore \angle 4=\angle 5$ (Alternate Interior Angles are equal between 2 parallel lines)

Hence, $\angle 5={130}^o$