A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 72°?
anonymous
 4 years ago
What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 72°?

This Question is Closed

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.0The sum of the exterior angles, one per vertex, of a regular polygon is 360. If one exterior angle is 72, then the number of sides of the polygon is 360/72 = 5. The regular polygon is a regular pentagon. If the exterior angle measures 72, its adjacent interior angle is 180  72 = 108. The sum of the interior angles is 108 times 5 = 540 degrees.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.