Question

Find the measure of each exterior angle of a regular polygon having 36 sides?

Answer 1

Answer:

10°

Step-by-step explanation:

sum of the interior angles of polygon with n sides = (n-2)*(180°)

each interior angle = (n-2)*(180°)/n

each exterior angle = 180° - [(n-2)*(180°)/n] = 360°/n

therefore if n = 36

then each exterior angle = 360/36 = 10°