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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 1.4, Problem 22E
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Elementary Geometry for College St...

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

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Problem 1E
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Problem 15E
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Problem 18E
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Problem 22E
Problem 23E
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Problem 31E
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Problem 34E
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Problem 38E
Problem 39E
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Problem 41E
Problem 42E
Problem 43E
Problem 44E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Chapter 1.4, Problem 22E, Exercises 1624 Given: mRST=2x3 mTSV=x2 mRSV=49 Find: xandmTSV

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:

m∠RST=2x3m∠TSV=x2m∠RSV=49°

The given figure is,

Definition:

Angle addition postulate says that,

If a point say M lies in the interior of ∠PQR, then m∠PQM+m∠RQM=m∠PQR.

Calculation:

Consider the figure,

T is the interior point of the angle ∠RSV.

m∠RST=2x3m∠TSV=x2m∠RSV=49°

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

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