Question

Given that line $p||q$. What is the value of $y$ ?

• A. ${100}^o$
• B. ${200}^o$
• C. ${260}^o$
• D. ${160}^o$

Answer 1

The correct option is D ${160}^o$

In order to find out the value of $y$, we have to conctruct a line $r$ parallel to lines $p\&q$ .

Here,
$y=z+w$
And,
$w+100-x={180}^o(\because \text{Cointerior angles})$
$w=180-100+x$
Now, similarly
$z+100+x={180}^o(\because \text{cointerior angles})$
$z=180-100-x$

Now, adding $z$ and $w$, we get $y$
$y=180-100-x+180-100+x$
$y={160}^o$
Hence, option$\left(d\right)$ is correct.