  Quantum resources lie at the core of quantum computation as they are
responsible for the computational advantage in many tasks. The complementary
relations are a pathway to understanding how the physical quantities are
related. Here it was shown that there is a complementary relationship that
evolves quantumness of a two qubits state and the degree of entanglement,
respectively measured by Roughness and Concurrence. It was shown that there is
a $\mathbb{R}^2$ surface that characterizes these quantities and can be
understood as a projection of the Bloch Sphere. The distribution of states on
the surface shows a concentration in the region of lower roughness and
Concurrence, i.e., in the subset of states of greater entropy.
