   Chapter 1.2, Problem 20E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem Exercises 16 − 24 Given: m ∠ R S T = 5 ( x + 1 ) − 3 m ∠ T S V = 4 ( x − 2 ) + 3 m ∠ R S V = 4 ( 2 x + 3 ) − 7 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=5(x+1)3mTSV=4(x2)+3mRSV=4(2x+3)7

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=5(x+1)3mTSV=4(x2)+3mRSV=4(2x+3)7

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

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