Question

question
how many sides does a regular polygon have if each interior angle measures $168^{\circ}$?

Explanation:

Step1: Find exterior angle measure

The interior and exterior angles of a polygon are supplementary, so:
$180^\circ - 168^\circ = 12^\circ$

Step2: Calculate number of sides

The sum of exterior angles of any polygon is $360^\circ$. Divide this by the exterior angle measure:
$n = \frac{360^\circ}{12^\circ}$

Answer:

30