How might a nitrogen- oxygen atmosphere on the moon affect the range of temperatures on the moon

Once the heat radiated by the surface is equal to the sunlight being absorbed by it the surface stops heating up, and temperatures remain relatively stable. ... On the Earth and other planets with an atmosphere, so-called greenhouse gases can trap part of the heat radiated by the surface, keeping the surface warmer.

Biased means unfair but that's all ik

You can find results and justify them? you can test your hypothesis