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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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The bisectors of two consecutive angles of HJKL are shown. What can you conclude regarding ∠P?

Chapter 4.1, Problem 35E, 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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