If the individual measure of an angle in a regular polygon is #156°# how many sides does the polygon have?
The sum of the internal angles of a polygon with
If the polygon is regular, all the angles have the same measure, which means that each angle is
We know that this equals
Multiply both sides by
Divide both sides by
The sum of the exterior angles of any polygon is always 360°.
You can calculate the number of sides from
Ext angle =