Question

The measure of an interior angle of a regular polygon is 165.6°. How many sides make up the regular polygon?

Answer 1

Regular Polygon's sum of interior angles is
\[180^o(n-2)=Sum.\] Where n= number of sides of the regular polygon.
Therefore according to ur question
this equation must be 100% true
\[180^o(n-2)=165.6^o n\]
Thus find 'n' & u will get ur answer.

Answer 2

sides = 360/exterior angle