what is the exteriror angle of a regular pentegonshow me workings

To find the measure of each exterior angle of a regular pentagon, you can use the formula:

Exterior angle = 360° / number of sides

In this case, since we have a regular pentagon (a polygon with 5 sides), the formula becomes:

Exterior angle = 360° / 5

Simplifying the expression, we get:

Exterior angle = 72°

Therefore, each exterior angle of a regular pentagon measures 72 degrees.