Nos of sides of a regular polygon is given by: (n−2)×180n\frac{(n - 2) \times 180}{\text{n}}n(n−2)×180 = One interior angle of the polygon.
where n = number of sides of the polygon
168 = (n−2)×180n\frac{(n - 2) \times 180}{\text{n}}n(n−2)×180
Cross multiplying, we have:
168n = 180n - 360
168n - 180n = - 360
- 12n = - 360
n = −360−12\frac{-360}{-12}−12−360 = 30.
