Don't Be a Dim Bulb. Use a Wet Bulb!
Traditionally, when a meteorologist wanted to see how uncomfortably muggy the weather was, she would use a sling psychrometer:
This classic instrument housed two thermometers in an apparatus she whirled around her head. One thermometer wore a little cotton sock over its bulb. The sock was soaked with water; the other bulb was kept dry. Evaporation cooled the sock and the bulb inside it.
The sock-clad thermometer reading was the wet-bulb temperature. The other reading was the dry-bulb temperature, but most people would just call it temperature. These two readings were used to calculate the relative humidity and dewpoint, derived values commonly announced on the radio or available on various weather websites.
When you cycle enough to perspire, you're like the wet bulb! If you knew the wet-bulb temperature, you'd have some idea how well your high-tech, water-wicking club jersey will keep you cool during your ride.
Unfortunately, the wet-bulb temperature isn't shown on wunderground.com, and unless you buy or make your own psychrometer, it'll take some fiddling to get it.
More reading about wet-bulb temperature here and here.