Question -:
Find the number of sides of a regular polygon if each exterior angles is 24°.
Explanation -:
Given -:
- Exterior angle of a regular polygon is 24°.
To Find -:
- Number of sides of a regular polygon
Solution -
We know,
Sum of all exterior angles regular polygon is 360°.
Measure of each exterior angle of a regular polygon = 24°
[tex] \small\boxed{ \rm{ Number \: of \: sides = \dfrac{ Sum \: of \: exterior \: angles}{ each \: exterior \: angle}}}[/tex]
[tex] \small\sf{ No. \: of \: sides = \dfrac{360 \degree}{24\degree} = 15}[/tex]
Hence the regular polygon has 15 sides.
[tex] \pink {\rule{30mm}{3pt}} \purple{\rule{30mm}{3pt}} \blue{\rule{30mm}{3pt}}[/tex]
