The feature of the constitution that requires each of the three branches of government to be relatively independent of control over the others and that requires each branch to share powers with at least one of the other branches is the doctrine of

Separation of power.

Explanation:

The separation of powers is referred to as a model that is required for governance of a institution/state. Under this generic model, an institution's power is divided into groups or branches, with each having independent and separate powers and also different responsibility, therefore the powers of one group or branch is not in conflict with others and the control associated with them.

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