Automatically decompress gzip response via WebClient.DownloadData

Question

I wish to automatically uncompress GZiped response. I am using the following snippet:

mywebclient.Headers[HttpRequestHeader.AcceptEncoding] = "gzip";
mywebclient.Encoding = Encoding.UTF8;

try
{
    var resp = mywebclient.DownloadData(someUrl);
}

I have checked HttpRequestHeader enum, and there is no option to do this via the Headers

How can I automatically decompress the resp? or Is there another function I should use instead of mywebclient.DownloadData ?