   Chapter 4.1, Problem 35E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

The bisectors of two consecutive angles of ▱ HJKL are shown. What can you conclude regarding ∠P? To determine

To conclude:

The angle ∠P in the given parallelogram HJKL.

Explanation

Given:

The bisectors of two consecutive angles of HJKL are shown below.

Corollary:

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

In the given parallelogram IJKL.

 PROOF Statements Reasons 1. Parallelogram IJKL 1. Given 2. HJ-∥LK- 2. By the definition of a parallelogram 3. ∠LHP=∠H2 and ∠HLP=∠L2 3. Since HP and LP are angle bisectors of ∠H and ∠L 4

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