To analyze the circuit using Kirchhoff's Voltage Law, identify the currents in each branch as I1, I2, and I3. Formulate the three Kirchhoff's equations based on two loops and one node. This approach will help determine the current direction and magnitude in each branch. Additionally, calculate the power dissipated in the 10-ohm resistor using the formula P = I^2R, where I is the current through the resistor. Following these steps will clarify the circuit's behavior and power dissipation.