How does oxygen in the air help a wooden matchstick keep burning?

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Oxygen plays a critical role in the combustion of a wooden matchstick by acting as the oxidizing agent in a rapid chemical reaction.

When a match is properly ignited, the heat generated by the flame raises the temperature of the surrounding air and the adjacent layer of the wood. This thermal energy allows the wood and the oxygen in the air to react, sustaining the combustion process. As long as this reaction continues to generate enough heat to maintain the necessary temperature, the matchstick will keep burning. If the heat is dissipated—for example, by a gust of wind—or if the reactants are unable to reach the required temperature, the combustion reaction will cease.1