   Chapter 1.6, Problem 25E ### 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

# Prove the Extended Angle Addition Property by using the Drawing, the Given, and the Prove that follow. Given: ∠ T S W with S U → and S V → Prove: m ∠ T S W = m ∠ T S U + m ∠ U S V + m ∠ V S W To determine

To prove:

Explanation

Given:

It is given that TSW with SU and SV.

The given figure is,

Approach:

Angle Addition Property is defined as,

If a point X lies in the interior of an angle ABC, then mABX+mXBC=mABC.

Calculation:

Use Angle Addition Property for given angle TSW.

mTSW=mTSU+mUSW(1)

Use Angle Addition Property for given angle USW

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