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Understanding Shapes — MATHS STD 8 — Question

ICSE BoardEnglish MediumSTD 8MATHSUnderstanding Shapes4 Marks
Question
Is it possible to have a polygon, whose sum of interior angle is: $4500^\circ$
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Answer

Let no. of sides $=n$
$(n-2) \times 180^{\circ}=4500^{\circ}$
$n-2=\frac{4500}{180}$
$n-2=25$
$n=25+2$
$n=27$
Which is a whole number.
Hence it is possible to have a polygon, the sum of whose interior angles is $4500^{\circ}$.

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