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Elementary Geometry for College St...

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

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BuyFindarrow_forward

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 W

Prove: m 1 + m 2 = m 3 + m 4

Chapter 2.5, Problem 29E, Given: Quadrilateral RSTV with diagonals RT and SV intersecting at W Prove: m1+m2=m3+m4

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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