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PLEASE HELP ME, IM BEING TIMED ON THE TEST AND NEED AN ANSWER QUICK!!!!!

I ALSO SPENT ALL OF MY POINTS ON THE QUESTION!

A conjecture and the flowchart proof used to prove the conjecture are shown.


Given: A B C D is a parallelogram.

Prove: Angle 1 is supplementary to angle 3.

Art: Parallelogram A B C D. Ray D B is drawn and is extended past vertex B. The ray forms an interior angles A D B and D B C and an exterior angle labeled as 3, adjacent to angle D B C. Angle A D B is labeled as 1, and angle D B C is labeled as 2.




Drag an expression or phrase to each box to complete the proof.

PLEASE HELP ME IM BEING TIMED ON THE TEST AND NEED AN ANSWER QUICKI ALSO SPENT ALL OF MY POINTS ON THE QUESTIONA conjecture and the flowchart proof used to prov class=

Respuesta :

Answer:

∠1 is supplementary to ∠3.

Step-by-step explanation:

Given information: ABCD is a parallelogram.

Prove: ∠1 is supplementary to ∠3.

Proof:

∠1 = ∠ADB

∠2 = ∠DBC

∠3 = exterior angle adjacent to angle D B C.

Statement                                         Reason

∠2 is supplementary to ∠3           Linear pairs

m∠2+m∠3=180°                             Definition of supplementary angles

                           Alternative interior angles

m∠1+m∠3=180°                              Substitute property of equality

∠1 is supplementary to ∠3            Definition of supplementary angles

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