The heat of neutralization for HBr reacting with KOH is similar to the heat of neutralization for HNO3 reacting with NaOH because they are both strong acid - strong base reactions.
A strong acid is an acid that ionizes completely in solution while a strong base is a base that ionizes completely in solution. A strong acid or base achieves almost 100% ionization in solution. A weak acid or base only ionizes to a very small extent in water.
In both cases of HBr reacting with KOH and HNO3 reacting with NaOH, we have a strong acid - strong base reaction hence the heat of neutralization of both reaction will be identical. Secondly, the both reactions have the same net ionic equation; H^+(aq) + OH^-(aq) -----> H2O(l)
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