Question

Find the measure of $x$ in given figure.

• A. ${50}^o$
• B. ${60}^o$
• C. ${70}^o$
• D. ${80}^o$

Answer 1

The correct option is A ${50}^o$

Since, the sum of the measures of exterior angles of a polygon is ${360}^{\circ }$.
$\therefore x^{\circ }+{90}^{\circ }+{60}^{\circ }+{90}^{\circ }+{70}^{\circ }={360}^{\circ }$
$[\because \angle Q={90}^{\circ }\therefore ext\angle Q={180}^{\circ }-{90}^{\circ }={90}^{\circ }]$
$\Rightarrow x+310=360$
$\Rightarrow x=360-310$
$\therefore x={50}^{\circ }$