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Polygons — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsPolygons3 Marks
Question
Find the angle measure x in the given figure.
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Answer

For a regular n-sided polygon:
Each interior angle $=180-\Big(\frac{360}{\text{n}}\Big)$
In the given figure:
$\text{n}=\text{5}$
$\text{x}^\circ=180-\frac{360}{5}$
$=180-72$
$=108^\circ$
$\therefore\text{x}=108$

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