A regular polygon has 21 sides. Find the size of each interior angle?

Question

12504 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-22T09:44:53

#color(blue)(162.86^@)# 2 d.p.

The sum of the interior angles of a regular polygon are given by:

#180^@n-360^@#

Where #n# is the number of sides.

#:.#

#180(21)-360=3420^@#

Each angle is therefore:

#3420/21=162.86^@# 2 d.p.