###### Asked in AlgebraGeometry

Algebra

Geometry

# The sum of the measures of the interior angles of a polygon with n sides is?

## Answer

###### Wiki User

###### April 29, 2009 8:54PM

. (*n* - 2)180

## Related Questions

###### Asked in Geometry

### If the measure of a vertex angle of a regular polygon is 162 degrees how many sides does the polygon have?

All vertex angles (also called "interior angles") of a regular
polygon have equal measures. If this regular polygon has n sides,
then the sum of all the interior angles is 162° times n. The sum of
the measures of all the interior angles of any polygon with n sides
is (n-2) times 180°. So we have this equation
162n=(n-2)(180)
which has solution n=20. So the polygon has 20 sides.
Edwin McCravy

Load More