Dallas, Texas Monday Night: A 20 percent chance of showers. Mostly cloudy, with a low around 51. South southeast wind 5 to 10 mph becoming east northeast. Tuesday: A 20 percent chance of showers. Mostly cloudy, with a high near 63. Tuesday Night: Partly cloudy, with a low around 47. Wednesday: Mostly sunny, with a high near 66. Wednesday Night: Mostly clear, with a low around 44. Thanksgiving Day: Sunny, with a high near 62.