Question

Enlightenment philosophers established which two of the following ideas?

An oligarchy government was best to control its citizens.
A government can take away peoples’ rights under any circumstances.
Governments are given their power by the people.
People have the right to change their government.
People must follow the religion of their government.

Answer 1

C.) Governments are given their power by the people.

D.) People have the right to change their government.

Step-by-step explanation:

These two notions are the pillars of any modern democracy:

C.) Governments are given their power by the people.

Since people "voluntarily" give their favor in adopting certain forms of government, John Locke argues there would be three types of goverment that would follow:democracy, oligarchy and monarchy

For Locke, the community has the power to decide by majority the form of civil society government.Therefore, depending on who or who received the power, the State will have one of these three mentioned classic forms of government. Among of them he favors liberal democracy.

D.) People have the right to change their government.

A social contract meaning an agreement between the ruler and the ruled is a right of the people, by the people for the people.

John Locke argued that a bind a "Social contract" he called, is done to ensure that living is made possible to everyone and that laws are made to limit power from the ruler, there is also alway the possibility of taking away this power from the ruler.

Answer 2

"Governments are given their power by the people" referring to a Social Contract. For the second answer, I used process of elimination. Oligarchy is not commonly used as a central government nor as a way to control citizens so it isn't that option. The next one is against pretty much every enlightenment thinker's ideas so that isn't it. The very last answer also goes against everything Enlightenment thinkers stood for.
Because of those reasons, the answers should be:
Governments are given their power by the people
and, People have the right to change their government.