Emergency accommodation is being provided in towns and cities across the West, for those living on the streets. Seth Conway has been to Exeter to find out how homeless people are coping in the freezing conditions.
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It will be a breezy start, with clouds arriving around lunchtime. The afternoon will be sunny with showers.
Tuesday will start dry and bright with lighter winds, before cloud thickens bringing some outbreaks of rain through the afternoon.
The day's gusts will ease as the evening goes on. It will be mostly dry with cloud cover but occasional clear spells.