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Question

If the sum of the interior angles of a regular polygon is 1440, then the polygon must be a.

A
heptagon
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B
octagon
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C
decagon
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Solution

The correct option is C decagon
Given, Sum of the interior angles of a regular polygon =1440
As we know, sum of internal angles of n-sided polygon=(n2)180
(n2)180 =1440
(n2) =1440180=8
n=10
Since, 10 sided polygon is know as decagon
The polygon must be a decagon.


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