   Chapter 1.4, Problem 19E ### 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 − 10 m ∠ T S V = x + 6 m ∠ R S V = 4 ( x − 6 ) Find: x     and m ∠ R S V

To determine

To find:

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

Explanation

Given:

mRST=2x10mTSV=x+6mRSV=4(x6)

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=2x10mTSV=x+6mRSV=4(x6)

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

mRST+mTSV=mRSV2x10+x+6=4(x6)

Simplify above equation,

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