Question

The sum of all the interior angles of a regular octagon is:

• A. ${360}^{\circ }$
• B. ${1080}^{\circ }$
• C. ${1440}^{\circ }$
• D. ${1260}^{\circ }$

Answer 1

The correct option is B

${1080}^{\circ }$

Sum of interior angles of a polygon with n sides = (n-2) $\times$ 180°
For an octagon, n = 8
Hence the sum of interior angles = (8 - 2) $\times$ ${180}^{\circ }$
= 6 $\times$ ${180}^{\circ }$
= ${1080}^{\circ }$