January in Angleton is the coldest month of the year. In January, the weather in Angleton is typically warm. Average daily high temperature in January is about 15 degrees above zero. On average, Angleton has 13 sunny, 9 rainy, 8 partly cloudy, and 1 cloudy day in January. The rains are usually moderate. January as well as June, July, August, and September is considered the most uncomfortable time to visit Angleton.