One exterior angles of a regular polygon is 36° then find the sum of interior angles of the same?
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Answer:
Let the number of sides of regular polygon be
n
Exterior angle of regular polygon is
E
=
360
n
;
E
=
36
0
∴
n
=
360
E
=
360
36
=
10
. So it is regular Decagon having
10
equal sides. Sum of polygon's interior angles is
∑
i
=
(
n
−
2
)
⋅
180
=
(
10
−
2
)
⋅
180
=
1440
0
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