The sum of the angles of a polygon is 1800degree how many sides does it have
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Answer:
Sum of all the exterior angles of any polygon is always
360
o
.
As sum of every pair of interior and exterior angle is
180
o
,
sum of all the interior and exterior angles of a polygon with
n
sides, is
180
o
×
n
.
As sum of interior angles of given polygon is
1800
o
and sum of exterior angles is
360
o
. Sum of all the angles of given polygon is
2160
o
.
As such
180
o
×
n
=
2160
o
and
n
=
2160
o
180
o
=
12
.
Hence, number of sides in a polygon is
12
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