The following will match any matching set of tags. i.e. <b>this</b>
Regex tagRegex = new Regex(@"<\s*([^ >]+)[^>]*>.*?<\s*/\s*\1\s*>");
The following will match any single tag. i.e. <b> (it doesn’t have to be closed).
Regex tagRegex = new Regex(@"<[^>]+>");
You can then use it like so
bool hasTags = tagRegex.IsMatch(myString);