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Understanding Shapes — MATHS STD 8 — Question

ICSE BoardEnglish MediumSTD 8MATHSUnderstanding Shapes3 Marks
Question
Find the number of sides in a regular polygon, if its interior angle is: $135^\circ $
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Answer

No. of. sides $=n$
Each interior angle $=135^{\circ}$
$\frac{n-2}{n} \times 180^{\circ}=135^{\circ}$
$ 180 n-360^{\circ}=135 n$
$ 180 n-135 n=360^{\circ}$
$ 45 n=360^{\circ}$
$n=8$

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