Britain and Russia managed to peacefully share control of Persia by

1. letting Persia decide how to divide its assets.

2. setting up a joint committee to oversee resources.

3. agreeing to share all duties of a protectorate.

4. each taking charge of their own part of Persia.

4. Each taking charge of their own part of Persia.

Explanation:

According to The Anglo-Russian Entente, 1907, it stated that the governments of Great Britain and Russia mutually agreed "to respect the integrity and independence of Persia, and sincerely desiring the preservation of order throughout that country and its peaceful development, as well as the permanent establishment of equal advantages for the trade and industry of all other nations". This agreement was to provide a suitable and mutually agreed means of both countries having equal access for trade. This led to the agreement to have a shared interest in the Persian nation, thus leading to the arrangement of having both take care of their own parts of the nation.