186k views
2 votes
Find the number of sides of a regular polygon if each exterior angles is 24 degrees

User Boutta
by
7.9k points

2 Answers

5 votes

Answer:

yea

Explanation:

User Saxid
by
7.9k points
1 vote

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°


\small\boxed{ \rm{ Number \: of \: sides = ( Sum \: of \: exterior \: angles)/( each \: exterior \: angle)}}


\small\sf{ No. \: of \: sides = (360 \degree)/(24\degree) = 15}

Hence the regular polygon has 15 sides.


\pink {\rule{30mm}{3pt}} \purple{\rule{30mm}{3pt}} \blue{\rule{30mm}{3pt}}

User Deathspike
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories