MEXICO CITY — In Guatemala, angry citizens marched under pelting rain, undeterred. In Honduras, they carried torches at dusk. A wave of protests against corruption scandals that is sweeping across Latin America has reached Central America.

The presidents of Guatemala and Honduras face allegations that people close to them have conspired to siphon money from threadbare public health systems or maneuvered to cheat the state out of tax revenue.

Although neither President Otto Pérez Molina of Guatemala nor President Juan Orlando Hernández of Honduras has been directly accused, growing numbers of protesters are demanding their resignations.

Central Americans are no strangers to such malfeasance, of course. Former presidents and their associates in Costa Rica, Nicaragua and Guatemala have been tried for corruption by their successors. An inquiry in Panama into former President Ricardo Martinelli’s government is drawing a wide net around his allies, and he has fled the country.