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: 30

Answer

to proof - ∠B + ∠D = 180 Hence Proved

Work Step by Step

Sum of all the angles of a quadrilateral = 360 BA $\bot$AD AND BC $\bot$DC $\angle$A = $\angle$C =90 *....(1) $\angle$BAD +$\angle$ADC+$\angle$DCB+$\angle$CBA =360 $\angle$A +$\angle$B+$\angle$C+$\angle$D =360 90 + $\angle$B + 90 + $\angle$D = 360 ...USING (1) $\angle$B + $\angle$D = 360- 180 $\angle$B + $\angle$D = 180 Hence proved
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.