Question

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

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

Answer 1

The correct option is D

${80}^{\circ }$

In the given figure $\angle 1+{90}^{\circ }={180}^{\circ }$ [Linear Pair]
$\angle 1={90}^{\circ }$

Sum of exterior angles of a polygon is ${360}^{\circ }.$

$\therefore$ $x+{60}^{\circ }+{90}^{\circ }+{90}^{\circ }+{40}^{\circ }={360}^{\circ }$

$x+{280}^{\circ }={360}^{\circ }$
$x={80}^{\circ }$