# If the individual measure of an angle in a regular polygon is #156°# how many sides does the polygon have?

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The sum of the exterior angles of any polygon is always 360°.

You can calculate the number of sides from

Ext angle =

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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

Subtract

Divide both sides by

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