Elementary Geometry for College Students (7th Edition) Clone

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

Chapter 4 - Section 4.1 - Properties of a Parallelogram - Exercises - Page 188: 3d

Answer

110$^{\circ}$

Work Step by Step

A parallelogram consists of two pairs of parallel sides. This gives it the property that opposite sides and angles are of equal length and size, respectively. It is also a rule that the internal angles of a parallelogram (or any four-sided shape) adds up to 360$^{\circ}$. Therefore, if we know that, because they are opposite each other, m$\angle$Q = m$\angle$N and m$\angle$M = m$\angle$P. It is given that m$\angle$M = 110$^{\circ}$, therefore m$\angle$P = 110$^{\circ}$.
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