Question
Find the measure of each interior angle of a regular polygon having:
15 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 15 sides:
Each exterior angle $=\frac{360}{15}=24^\circ$
⇒ Each interior angle = 180 - 24 = 156º

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free