Question

In the following figure, what is the value of $y$ in terms of $x$?

• A. $x+80$
• B. $80-x$
• C. $x+100$
• D. $x-100$
• E. $100-x$

Answer 1

The correct option is C $x+100$

In the given figure, $y$ is an exterior angle where as $x$ and $100$ is are interior angles of the triangle.
We know, exterior angle is equal to sum of two opposite interior angles.
So as per the problem,
$y=x+100$