Nitrogen oxides are formed during high-temperature combustion in automobile engines. The thermochemical equations for two reactions involving nitrogen oxides are shown below.

\[ \text{N}_2(g) + \text{O}_2(g) \rightarrow 2\text{ NO}(g) \quad \Delta H^\circ = +180\text{ kJ/mol}_{\text{rxn}} \]
\[ 2\text{ NO}_2(g) \rightarrow 2\text{ NO}(g) + \text{O}_2(g) \quad \Delta H^\circ = +114\text{ kJ/mol}_{\text{rxn}} \]

Based on the data above, what is the value of \(\Delta H^\circ\) for the reaction represented by the following equation?

\[ \text{N}_2(g) + 2\text{ O}_2(g) \rightarrow 2\text{ NO}_2(g) \]