   Chapter 2.5, Problem 29E ### 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
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# Given: Quadrilateral RSTV with diagonals R T ¯ and S V ¯ intersecting at WProve: m ∠ 1 + m ∠ 2 = m ∠ 3 + m ∠ 4 To determine

To prove:

The statement m1+m2=m3+m4.

Explanation

Given:

The following figure shows the given quadrilateral.

Approach:

(1) If two lines intersect each other, then vertical angles will be equal.

(2) The sum of three angles in any triangle will be 180°.

Calculation:

The proof is as follows.

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