No products in the cart.

The ratio of exterior angle to …

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Install Now

The ratio of exterior angle to interior angle of polygon is 1: 4 find the no. Of sides of polygon

Posted by Vansh Thacker 6 years, 6 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 6 years, 6 months ago

Let the interior angle of the regular polygon be x.
Therefore, the exterior angle is x/4.
Exterior angle + adjacent interior angle = 180°
x/4 + x. = 180°
5x /4. = 180°
x. = 180° * 4/5
= 144°
The interior angle is 144°.
The exterior angle is 36°.
Let n be the number of sides.
n = 360°/ exterior angle
= 360° / 36°
= 10
The number of sides of a regular polygon is 10.

1Thank You

ANSWER

Test

Related Questions

Pythagoras theoram ???

Posted by Ojus Dimen 1 year, 4 months ago

CBSE > Class 08 > Mathematics

1 answers

Class 8th ex .5.1

Posted by Jashan Preet 8 months ago

CBSE > Class 08 > Mathematics

1 answers

2x+5= 10

Posted by Arnav Tripathi 1 year, 4 months ago

CBSE > Class 08 > Mathematics

1 answers

A rational number is such that when you multiply it by 5/2 and add2/3 to the product you get -7/12 find the number

Posted by Mohamed Imran 1 year, 4 months ago

CBSE > Class 08 > Mathematics

1 answers

A streamer goes down stream from one point to another in 7 hours it covers the same distance upstream in 8 hours if the speed of the streamer is 2km/hr find the speed of the streamer in still water and the distance between the point

Posted by Yunus Malik 1 year, 4 months ago

CBSE > Class 08 > Mathematics

0 answers

3+4{

Posted by Gupteswari Bag 1 year, 4 months ago

CBSE > Class 08 > Mathematics

4 answers

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Monika 8B 5 months, 3 weeks ago

CBSE > Class 08 > Mathematics