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OOps.

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Lets use a geometric argument.

ok....

If we draw a line such it it intersects two sides.

Similarly, angle must equal angle c.

If we make two triangles, Triangle abc and triangle def

180-e-d must equal angle f.

Are you following me so far?

yes I am, I am writing this down

Similarly, 180 - a -c must equal b.

ok I dont understand what 180-a-c means

Since a = d and c = e , therefore we can conclude f equal b.

I mean I am subtracting going: 180 degrees - angle a - angle c.

Because in a triangle there is 180 degrees. Do you understand or shall I explain more?

Yes you are correct but do you understand why?

because.... nope I got nothing... I just remember thats a rule somewhere right?

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Does that make sense?

yeah okay, you could reason it that way too :P . But you had to prove they were equal first ;) .

SAS?

Ohh yeah, that's valid too :) .

Good! :) .

so to answer the question how do I conclude its a parallelogram?

Thank you so much for that. You were very patient and kind. I will remember this!! Thanks. :D

You are welcome :) .