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What is the measure of an interior angle of a regular polygon with 20 sides?
Geometry Angles with Triangles and Polygons
1 Answer
mason m
Jan 2, 2016
162
˚
Explanation:
The sum of the interior angles in a regular polygon with
n
sides is found through the formula
180
˚
(
n
−
2
)
Here,
n
=
20
, so the sum of the interior angles is
180
˚
(
20
−
2
)
=
180
˚
(
18
)
=
3240
˚
To find just one angle, divide
3240
˚
by
20
since all
20
angles are congruent.
3240
˚
20
=
162
˚
