Answered: Given: Parallelogram LIFE Prove: Z1 and…

Given: Parallelogram LIFE Prove: Z1 and ZF are supplementary ZF and ZE are supplementary ZE and ZL are supplementary ZL and Z1 are supplementary Proof

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.1: Properties Of A Parallelogram

Problem 28E: In Exercises 27-30, use the definition of a parallelogram to Complete each proof. Given: WX-ZY- and...

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Question

1. Parallelogram Property 3. In a parallelogram, any two consecutive angles are supplementary.
Given: Parallelogram LIFE
Prove: ZI and ZF are supplementary
ZF and ZE are supplementary
ZE and ZL are supplementary
ZL and Z1 are supplementary
Proof:
Statements
Reasons
1.
1
Given
2.
2. LI| FE
Z1 and ZF are supplementary.
3.
4. Z ZE; ZF= ZL
4
An angle that is supplementary to one of two
congruent angles is supplementary to the other also.
5.
5.

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