Chapter 4.1, Problem 16E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Suppose that diagonals A C -   a n d   B D - of are drawn and that A C > B D . Which angle ( ∠ A or ∠ B ) would have the greater measure?

To determine

To describe:

The larger angle between A and B if AC>BD in.

Explanation

Given:

Diagonals AC-Â andÂ BD- of are drawn and that AC>BD.

Corollary:

1. The opposite angles of a parallelogram are congruent.

2. Two consecutive angles of a parallelogram are supplementary.

3. The angle opposite to the larger side is larger than the angle opposite to the smaller side.

Calculation:

In the given parallelogram ABCD, given that AC>BD.

Join the diagonals AC-Â orÂ BD- in

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