Question

Find the value of $angle$ x in the following figure.

• A. ${90}^{\circ }$
• B. ${70}^{\circ }$
• C. ${80}^{\circ }$
• D. ${60}^{\circ }$

Answer 1

The correct option is C ${80}^{\circ }$

In the given figure $\angle 1+{90}^{\circ }={180}^{\circ }$ [Linear Pair]
$\angle 1={90}^{\circ }$
Now, sum of exterior angles of a polygon is ${360}^{\circ }$
$\therefore$, $x+{60}^{\circ }+{90}^{\circ }+{90}^{\circ }+{40}^{\circ }={360}^{\circ }$
$x+{280}^{\circ }={360}^{\circ }x={80}^{\circ }$