Final answer:
The Legislative Assembly faced internal political strife, ambiguities in the constitution, and external threats from other monarchies. King Louis XVI and Marie Antoinette faced execution amid political turmoil—hallmarks of the Reign of Terror, led by Maximilien Robespierre until his own downfall.
Step-by-step explanation:
Problems of the Legislative Assembly and the French Revolution
Three problems of the Legislative Assembly included internal conflicts among political factions, ambiguities in the constitution regarding the division of powers, and external pressures from foreign monarchies fearful of revolutionary ideas spreading. The country that invaded France in April 1792 was Austria, acting in part due to the concern of other rulers in Europe, such as Prussia, about the events in France, fearing the loss of their own power and the revolutionary example set by the French. These monarchies were alarmed by the erosion of monarchical authority and the potential for revolution to spread to their own lands.
King Louis XVI and Queen Marie Antoinette were the monarchs of France during this period. Their attitudes towards the people were complex; while they initially seemed to comply with the revolution, their escape attempt revealed royalist sympathies. Both were eventually executed; Louis XVI in January 1793, and Marie Antoinette later that year.
The Reign of Terror was a period during the French Revolution characterized by extreme violence and the widespread use of the guillotine against perceived enemies of the state. The most famous leader during this time was Maximilien Robespierre, who was eventually arrested and executed by those who saw him as a threat to their power.