Question

What is the interior angle of a regular octagon (regular polygon of 8 sides)?

• A. ${120}^{\circ }$
• B. ${150}^{\circ }$
• C. ${135}^{\circ }$
• D. ${180}^{\circ }$

Answer 1

The correct option is C

${135}^{\circ }$

We have,

the interior angle of a regular polygon of n sides = $\frac{(n-2)\times {180}^{\circ }}{n}$

$\therefore$ The interior angle of a regular octagon = $\frac{(8-2)\times {180}^{\circ }}{8}$ = $\frac{6\times {180}^{\circ }}{8}$ = ${135}^{\circ }$