Question

In the given figure, x = ___

• A. ${53}^{\circ }$
• B. ${50}^{\circ }$
• C. ${63}^{\circ }$
• D. ${70}^{\circ }$

Answer 1

The correct option is A

${53}^{\circ }$

We know that sum of all exterior angles in any polygon = ${360}^{\circ }$

$\therefore x^{\circ }+(180-95{)}^{\circ }+{72}^{\circ }+{70}^{\circ }+{80}^{\circ }={360}^{\circ }$

$\Rightarrow x^{\circ }+{85}^{\circ }+{72}^{\circ }+{70}^{\circ }+{80}^{\circ }={360}^{\circ }$

$\Rightarrow x^{\circ }+{307}^{\circ }={360}^{\circ }$

$\Rightarrow x^{\circ }={53}^{\circ }$