What is a key believes of john locke in establishment of government

 A key belief of John Locke was the idea of THE SOCIAL CONTRACT.

Explanation:

According to Locke idea of a "social contract,"  a government's power to govern comes from the consent of the people themselves -- those who are to be governed.  This was a change from the previous ideas of "divine right monarchy" -- that a king ruled because God appointed him to be the ruler.  Locke repudiated the views of divine right monarchy in his First Treatise on Civil Government (1690).  In his Second Treatise on Civil Government (1690), Locke argued for the rights of the people to create their own governments according to their own desires and for the sake of protecting their own life, liberty, and property.

Here's a passage from Locke's Second Treatise, which asserts that a government only has its power by the consent of the people who live under that government:

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.elections are held to determine who serves in congress.