Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Section 2.5 - Convex Polygons - Exercises - Page 116: 42

Answer

The concave quadrilateral ABCD has interiors angles with a sum of 360$^{\circ}$ because it is made up of two triangles whose sum of interior angles are always $180^{\circ}$.

Work Step by Step

Draw a line from B to D to form triangles BCD and ABD. Add the interior angles of each (180+180) to equal 360 for the total sum of the measures of the interior angles of the quadrilateral.
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.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions