   Chapter 1.4, Problem 22E ### 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
1 views

# Exercises 16 − 24 Given: m ∠ R S T = 2 x 3 m ∠ T S V = x 2 m ∠ R S V = 49 ° Find: x     and m ∠ T S V

To determine

To find:

The value of x and the measure of the angle TSV.

Explanation

Given:

mRST=2x3mTSV=x2mRSV=49°

The given figure is,

Definition:

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

Calculation:

Consider the figure,

T is the interior point of the angle RSV.

mRST=2x3mTSV=x2mRSV=49°

Use above mentioned angle addition postulate to solve for the value of x

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