Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 2 - Section 2.5 - Convex Polygons - Exercises - Page 101: 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
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