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Islamist terrorists have beheaded the Canadian hostage John Ridsdel, 68.
Justine Trudeau, prime minister of Canada, condemned the killing as an act of "cold-blooded murder".
Ridsdel, a former mining executive, was seized with three others from a popular holiday resort in the Philippines.
The Abu Sayyaf group kidnapped Ridsdel, along with fellow Canadian Robert Hall, Hall's Philippine girlfriend Maritest Flor and a Norwegian, Kjartan Sekkingstad, in September last year.
The Islamists then released a video last November demanding a £55 million ransom for all four.
Ridsdel's severed head was found on Jolo, a remote island, soon after the ransom deadline expired yesterday.
Trudeau said it was a "heinous act".
He said: "Canada condemns without reservation the brutality of the hostage-takers, and this unnecessary death. This was an act of cold-blooded murder and responsibility rests squarely with the terrorist group who took him hostage."
Bob Rae, a friend of Ridsdel, told CBC News: "It's hard, it's just very hard. I've been involved behind the scenes for the last six months trying to find a solution and it's been very painful."
Abu Sayyaf is a small ultra-extremist separatist group from the southern Philippines, and gets some funding from Al Qaeda.
The Philippines are mainly Catholic.
The group was responsible for a 2004 ferry bombing in Manila Bay which killed 100 people.