The Scottish SPCA was alerted when a member of the public noticed the dog while disposing of their rubbish at Dundonald Street on Friday morning.
The male pointer mix was severely malnourished, dehydrated and was unable to stand.
He was immediately taken to a vet, who decided that the kindest and only humane option was to put him to sleep due to the severity of his condition.
Anyone with information is being urged to contact the Scottish SPCA Animal Helpline on 03000 999 999.
(Evening Telegraph UK - April 19, 2016)