How many sides does a regular polygon have if each of its interior angles is 165°?

Given,  
Each interior angle = $165°$

Then,  
Each exterior angle = $180° - 165° = 15°$

We know,  
$\text{Number of sides} = \dfrac{\text{Sum of exterior angles}}{\text{Each exterior angle}}$

$\Rightarrow \text{Number of sides} = \dfrac{360°}{15°} = 24$

∴ The regular polygon has 24 sides.

दिया गया है,  
प्रत्येक आंतरिक कोण = $165°$

अतः,  
प्रत्येक बाह्य कोण = $180° - 165° = 15°$

हमें पता है,  

$\text{Number of sides} = \dfrac{\text{Sum of exterior angles}}{\text{Each exterior angle}}$

$\Rightarrow \text{Number of sides} = \dfrac{360°}{15°} = 24$

∴ यह समबहुभुज 24 भुजाओं वाला है।