Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Section 2.5 - Convex Polygons - Exercises - Page 106: 33

Answer

The acute interiors angles of a regular pentagram measure 36$^{\circ}$.

Work Step by Step

Exterior angles of a pentagon. E=$\frac{360}{5}$ E=72$^{\circ}$ The acute angles of a pentagram are the third angle of isosceles triangles whose base angles are equal to the external angles of the pentagon. E+E+m$\angle$A=180 72+72+m$\angle$A=180 m$\angle$A=36
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.