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Standard VIII
Mathematics
Angle Sum Property of a Polygon
Question
How many sides does a polygon have if the sum of the interior angles is
1440
o
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Solution
Verified by Toppr
Since sum of the interior angles is
1440
0
, therefore,
(
2
n
–
4
)
90
0
=
1440
0
2
n
–
4
=
1440
90
⇒
2
n
–
4
=
16
⇒
2
n
=
16
+
4
⇒
2
n
=
20
⇒
n
=
20
2
=
10
Hence, the polygon has
10
sides.
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