LOS ANGELES - Alex Trebek never pretended to have all the answers, but the “Jeopardy!” host became an inspiration and solace to Americans who otherwise are at odds with each other.

He looked and sounded the part of a senior statesman, impeccably suited and groomed and with an authoritative voice any politician would covet. He commanded his turf — the quiz show’s stage — but refused to overshadow its brainy contestants.

And when he faced the challenge of pancreatic cancer, which claimed his life Sunday, Nov. 8, 2020, at age 80, he was honest, optimistic and graceful. Mr. Trebek died at his Los Angeles home, surrounded by family and friends, according to “Jeopardy!” studio Sony.

The Canadian-born host made a point of informing fans about his health directly, in a series of brief online videos. He faced the camera and spoke in a calm, even tone as he revealed his illness and hope for a cure in the first message, posted in March 2019.

“Now normally, the prognosis for this is not very encouraging, but I’m going to fight this and I’m going to keep working,” Mr. Trebek said, even managing a wisecrack: He had to beat the disease because his “Jeopardy!” contract had three more years to run.

Mr. Trebek’s death came less than four months after that of civil rights leader and U.S. Rep. John Lewis of Georgia, also of advanced pancreatic cancer and at age 80. Mr. Trebek offered Rep. Lewis words of encouragement last January.

In a memoir published this year, “The Answer Is ... Reflections on My Life,” Mr. Trebek suggested that he’s known but not celebrated, and compared himself to a visiting relative who TV viewers find “comforting and reassuring as opposed to being impressed by me.”

That was contradicted Sunday by the messages of grief and respect from former contestants, celebrities and the wider public that quickly followed news of his loss. He was host of the game show for 36 years.

“Alex wasn’t just the best ever at what he did. He was also a lovely and deeply decent man, and I’m grateful for every minute I got to spend with him,” tweeted “Jeopardy!” champion Ken Jennings. “Thinking today about his family and his Jeopardy! family—which, in a way, included millions of us.”

Recent winner Burt Thakur tweeted that he was “overwhelmed with emotion.” When he appeared on last Friday’s show, Mr. Thakur recounted learning English diction as a child from watching Mr. Trebek on “Jeopardy!” with his grandfather.

The program tapes weeks of shows in advance, and the remaining episodes with Mr. Trebek will air through Dec. 25, a Sony spokeswoman said.

“Jeopardy!” bills itself as “America’s favorite quiz show” and captivated the public with a unique format in which contestants were told the answers and had to provide the questions on a variety of subjects, including movies, politics, history and popular culture.

They would answer by saying, “What is ... ?” or “Who is .... ?”

Mr. Trebek, who became the show’s host in 1984, was a master of the format, engaging in friendly banter with contestants, appearing genuinely pleased when they answered correctly and, at the same time, moving the game along in a brisk, no-nonsense fashion whenever people struggled for answers.

The show was the brainstorm of Julann Griffin, wife of the late talk show host-entrepreneur Merv Griffin, who said she suggested to him one day that he create a game show where people were given the answers.

“Jeopardy!” debuted on NBC in 1964 with Art Fleming as emcee and was an immediate hit. It lasted until 1975, then was revived in syndication with Mr. Trebek.

Long identified by a full head of hair and trim mustache (though in 2001 he startled viewers by shaving his mustache, “completely on a whim”), Mr. Trebek was more than qualified for the job, having started his game show career on “Reach for the Top” in Canada.

Moving to the United States in 1973, he appeared on “The Wizard of Odds,” “High Roll- ers,” “The $128,000 Question” and “Double Dare.” Even during his run on “Jeopardy!”, Mr. Trebek worked on other shows. In the early 1990s, he was the host of three shows, “Jeopardy!”, “To Tell the Truth” and “Classic Concentration.”

“Jeopardy!” made him fa- mous. He won five Emmys as its host, including one last June, and received stars on both the Hollywood and Canadian walks of fame. In 2012, the show won a prestigious Peabody Award.

He taped his daily “Jeopardy!” shows at a frenetic pace, recording as many as 10 episodes — two weeks’ worth — in just two days. After what was described as a mild heart attack in 2007, he was back at work in just a month.

He posted a video in January 2018 announcing he’d undergone surgery for blood clots on the brain that followed a fall he’d taken. The show was on hiatus during his recovery.

It had yet to bring in a substitute host for Mr. Trebek—save once, when he and “Wheel of Fortune” host Pat Sajak swapped their TV jobs as an April’s Fool prank.

Although many viewers considered him one of the key reasons for the show’s success, Mr. Trebek insisted he was only there to keep things moving.

“My job is to provide the atmosphere and assistance to the contestants to get them to perform at their very best,” he said in a 2012 interview. “And if I’m successful doing that, I will be perceived as a nice guy and the audience will think of me as being a bit of a star. But not if I try to steal the limelight!”

Born July 22, 1940, in Sudbury, Ontario, Mr. Trebek was sent off to boarding school by his Ukrainian father and French- Canadian mother when he was barely in his teens.

After graduating from high school, he spent a summer in Cincinnati to be close to a girlfriend, then returned to Canada to attend college. After earning a philosophy degree from the University of Ottawa, he went to work for the Canadian Broadcasting Co., starting as a staff announcer and eventually becoming a radio and TV reporter.

He became a U.S. citizen in 1997. Mr. Trebek’s first marriage, to Elaine Callei, ended in divorce. In 1990, he married Jean Currivan, and they had two children, Emily and Matthew.

Mr. Trebek is survived by his wife, their two children and his stepdaughter, Nicky.