   Chapter 4.4, Problem 44E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

With M N ¯ | | Q P ¯ and ∠ M ≅ ∠ Q , MNPQ is a right trapezoid. Finda) m ∠ P , if m ∠ M N P − m ∠ P = 54 ° b) the length of the side N P ¯ , if MN = 15 cm, MQ = 12 cm, and PQ = 20 cm. Exercises 43, 44

To determine

(a)

To Find:

mP

Explanation

Consider the following diagram.

Given: A right trapezoid MNPQ with MN¯||QP¯ and MQ.

Also, mMNPmP=54°.

Here, MN¯||QP¯ and MQ.

Therefore, mM=mQ=90°.

It is given that mMNPmP=54°

To determine

(b)

To Find:

The length of NP¯.

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