Leaving (and reentering) Schengen area with document of other country as a EU national?

I am a EU national of country A, currently residing in Germany, and also a citizen of non-Schengen country B. Nationals of country B are issued a 90 day tourist visa upon entry to the Schengen area (no need to obtain a visa in the country of origin).

Unfortunately I have lost my passport of country A and have a flight to country B scheduled a week from now. I have filed for a replacement at country A's embassy; however, because of some negligence on my part, there is some amount of red tape involved before it can be issued and mailed to me---hopefully to arrive prior to my trip. Since I am a resident here in Germany, the embassy would not issue an emergency document; at least I was not offered such an opportunity even after explaining my situation.

This question is about the hypothetical case in which the document does not arrive in time. Can I leave the Schengen area (i.e., Germany) using my document of country B? I am afraid border control will hamper me due to a missing visa.

Provided I can leave, can I reenter the Schengen area using my document of country B? I suppose I cannot be denied entry since I am a EU national, after all?

I also happen to have a valid ID of country A which is not a passport as well as a photocopy of my lost document (but I suppose neither will be of help at the border).

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Can I exit from another Schengen country?

Yes, you can enter or exit from the Schengen area via a country other than the one you have a visa for, your port of entry or exit doesn't depend on the issuing country of your visa.

Can I leaving Schengen Area and returning?

Once you leave, you cannot return to Spain (or Schengen) without a visa until a further 90 days have gone by. For example, if you have spent 90 days in total in Spain and leave on June 29th, you cannot go back without a visa until at least September 28th.

Can I enter and or exit the Schengen Area visa a country other than the one for which I have a visa?

According to the Schengen rules, the Schengen visa is generally valid for all the countries in the Schengen area. Please note, however, that you always have to apply at the consulate of the country which is your primary destination (see FAQ no 5).

What happens if you overstay 90 days in Europe?

The Schengen law states that you can't stay in the Area for more than 90 days. If you do, you're subject to a fine and possibly deportation and being banned from re-entering the Schengen Area.

THE SCHENGEN ZONE TRAVEL EXPLAINED - DIGITAL NOMAD TV

Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

Images: ArtHouse Studio, Ethan Wilkinson, 龔月強, ArtHouse Studio