Chapter 4.1, Problem 35E

### 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

# 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 â–±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-âˆ¥LK- 2. By the definition of a parallelogram 3. âˆ LHP=âˆ H2 and âˆ HLP=âˆ L2 3. Since HP and LP are angle bisectors of âˆ H and âˆ L 4

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started