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Elementary Geometry for College St...

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

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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 21E, Exercises 1624 Given: mRST=x2 mTSV=x4 mRSV=45 Find: xandmRST

Exercises 16 24

Given: m R S T = x 2
m T S V = x 4
m R S V = 45 °
Find: x and m R S T

To determine

To find:

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

Explanation

Given:

mRST=x2mTSV=x4mRSV=45°

The given figure is,

Definition:

Angle addition postulate says that,

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=x2mTSV=x4mRSV=45°

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

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