During vasodilation, why does a person feel warm

I thought vasodilation lowers body temperature, so why would the person feel warm and have a flushed appearance?

So how would the person feel during vasoconstriction (warm or not?)

Vasodilation is when blood vessels (especially those nearest the skin and in the furthest parts of the extremities) open up, and therefore it allows for increased blood flow to your skin. Since more blood rushes to the skin, you get the flushed appearance. Since blood is warm and you have thermal receptors near your skin, you feel warm. The heat loss also comes from the blood being near the skin, because then it is able to be released. Vasodilation also occurs in response to being too warm, so you'll often feel warm anyways.

The same applies to vasoconstriction. This is a response to cold temperatures, preventing blood flow to the skin and holding the warmth in your core. You do feel cooler when vessels vasoconstrict, as the thermal receptors of the skin no longer detect the warm blood.