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Question

Is it possible to have a polygon whose sum of interior angles is 16 right angles

A
Yes
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B
No
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C
Ambiguous
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D
Data insufficient
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Solution

The correct option is A Yes
Given, a polygon whose sum of interior angles is 16 right angles = 16×90o=1440o
Sum of interior angles of a polygon is 180o(n2)
Now,
180o(n2)=1440o
(n2)=8
n=10
n = number of sides must be an integer. There exist a polygon whose sum of interior angles is 16 right angles.

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