Does latitude increase decrease or remain the same as one move away from the equator and daytime temperature at the moon’s equator and its pole the same?
Dear Rk, I'm nobody is answering this question because it doesn't really make sense. 'Latitude' is the angle between the position of an object on the Earth's surface and the equator, as measured at the centre of the Earth, so of course it increases from zero at the equator to 90 degrees North or South at the poles. I'm guessing from the rest of your question that you meant to use some other term such as 'illumination'. An object face on to sunlight at one of the Moon's poles would be at the same temperature as one at the equator. An object lying flat on the ground would be at lower temperature because the same amount of sunlight would be spread over a larger area.
I suggest that you should take a basic course in astronomy, rather than trying to piece together answers to basic questions like this. Best regards, Duncan.