Maharashtra BoardEnglish MediumSTD 8MathsPolygons2 Marks
Question
Find the measure of each interior angle of a regular polygon having:
10 sides.
✓
Answer
For a regular polygon with n sides:
each interior angle = 180 - {Each exterior angle} $=180-\Big(\frac{360}{\text{n}}\Big) $
For a polygon with 10 sides:
Each exterior angle $=\frac{360}{10}=36^\circ$
⇒ Each interior angle = 180 - 36 = 144º
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