   Chapter 4.1, Problem 15E ### 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

# Assuming that m ∠ B >   m ∠ A in , which diagonal ( A C -   o r   B D - ) would be longer? To determine

To describe:

The longer diagonal between AC- or BD- in ABCD.

Explanation

Given:

Assuming that mB> mA in ABCD and the diagram as shown below.

Corollary:

1. The opposite angles of a parallelogram are congruent.

2. Two consecutive angles of a parallelogram are supplementary.

Approach:

In the given parallelogram ABCD, given that mB> mA.

As per the corollary that the opposite angles of a parallelogram are congruent, mA=mC

and mB=mD.

Join the diagonals AC- or BD-

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