find the no. of sides of regular polygon whose each
exteror angle has a measure of 45 degree
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Answer:
The sum of the interior angles of the polygon is
1080
o
Explanation:
Sum of exterior angle of any polygon is
360
o
.
As each exterior angle is
45
o
, number of angles or sides of the polygon is
360
o
45
o
=
8
.
Further as each exterior angle is
45
o
, each interior angle is
180
o
−
45
o
=
135
o
.
As there are
8
interior angles each
135
o
the sum of the interior angles of the polygon is
135
o
×
8
=
1080
o
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