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: 50

Answer

54 degrees

Work Step by Step

The interior angle and exterior angle add to 180 degrees. Thus, it follows: $$ = 180^{\circ}-72^{\circ} \\ = 108^{\circ}$$ Since P is the bisector of this angle, it follows: $$ \angle P = 54^{\circ}$$
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