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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

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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