ItsYourShreyaidn
Answered

Discover new perspectives and gain insights with IDNLearn.com's diverse answers. Ask any question and get a thorough, accurate answer from our community of experienced professionals.

One interior angle of a regular polygon is 175 degrees. What is the measure of one exterior angle?​

Sagot :

Akposevictoridn

The exterior angle of the regular polygon is: 5°

What is an Interior Angle of a Regular Polygon?

Each interior angle of a regular polygon = (n - 2)180/n

Given:

interior angle = 175°

Thus:

175 = (n - 2)180/n

175n = 180n - 360

175n - 180n = -360

-5n = -360

n = 72

Thus,

Measure of one exterior angle = 360/72 = 5°

Learn more about interior angle of regular polygon on:

https://brainly.com/question/1592456

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.