Question

Question 167
Find the measure of each angle of a regular octagon.

Answer 1

Number of sides (n), in octagon = 8
Now, the sum of interior angles of a regular octagon $=(n-2)\times {180}^{\circ }$
$=(8-2)\times {180}^{\circ }6\times {180}^{\circ }={1080}^{\circ }$
Since, the octagon is regular, measure of each angle $=\frac{{1080}^{\circ }}{8}={135}^{\circ }$