   Chapter 1.4, Problem 42E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# If m ∠ T S V = 38 ° , m ∠ U S W = 40 ° , and m ∠ T S W = 61 ° , find m ∠ U S V . Exercises 44, 45

To determine

To find:

The measure of angle USV.

Explanation

Given:

mTSV=38°,mUSW=40° and mTSW=61°.

The given figure is,

Property used:

If a point say M lies in the interior of PQR, then mPQM+mRQM=mPQR.

Calculation:

The given figure is,

Figure (1)

Consider the figure (1),

U is the interior point of the angle TSW.

mUSW is 40° and mTSW is 61°.

Use above mentioned angle addition postulate to solve the measure of angle TSU.

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