Question

What is the measure of an interior angle of a regular 12-gon?

Answer 1

150°

Explanation:

Measure of and interior angle of 12-gon:

`\sf \boxed{\text{\bf Sum of all angles of n-polygon = (n -2) * 180}}`

n is the number of sides.

Sum of all angles of 12-gon = (12 - 2) * 180

= 10 *180

= 1800°

In a regular 12-gon, all the interior angles will be equal.

`\text{\bf Measure of each interior angle = $\bf (Sum \ of \ all \ the \ angles)/(number \ of \ sides)$}`

`\sf = (1800)/(12)\\\\=150^\circ`