Glenn Frey's top songs with the Eagles

The music world has lost an iconic guitarist. The Eagles’ co-founder Glenn Frey died in New York Monday after a long illness. The Kennedy Center postponed honoring the band last November because of Frey’s health. Frey struck up a friendship with Don Henley in the '70s, and together they went on to form one of the best songwriting teams in rock music history. Anthony Mason reports.

As a founding member of the Eagles, Glenn Frey was responsible for some of the biggest songs of the 1970s. A singer, songwriter and guitarist, he co-wrote most of the tracks on the band's smash 1976 greatest hits album - one of the best-selling albums of all time - with fellow band founder Don Henley, and sang lead vocals on many Eagles hits.

Here's a look at some of the most memorable Eagles songs by Frey, who died Monday in New York.

"Take It Easy"

After the success of "Hotel California," the Eagles were famous and rich but the pressures of their new lifestyle opened the door to power struggles and increased drug use.

With its glittering guitar opening and touch of country twang, "Take It Easy" was the Eagles' first single in 1972 and became one of the band's signature songs. It was mostly written by Jackson Browne, but Frey added a line and sings lead vocals.

"Tequila Sunrise"

The first Eagles studio album in 28 years debuted recently in the number one slot on the Billboard charts. Steve Kroft asks the band why they returned to the studio.

Co-written with Henley and sang by Frey, this heartbreaking song was the first single off the band's 1973 album, "Desperado." Frey and Henley also co-wrote the album's equally heartbreaking title track.

"One of These Nights"

The Eagles' Glenn Frey and Don Henley talk with Steve Kroft about living in the "dark underbelly of the American dream" and finding their way out.

Another hit written with Henley, Frey said in 2003 that "One of These Nights" was his favorite Eagles tune, calling it "a breakthrough song." It was the title track of the band's 1975 album and its second single.

"New Kid in Town"

Timothy B. Schmit, Glen Frey and Don Henley of the Eagles perform during "History Of The Eagles Live In Concert" at the Bridgestone Arena on October 16, 2013 in Nashville, Tennessee. Photo by Rick Diamond/Getty Images

The first single off of 1976's "Hotel California," ''New Kid in Town" features Frey's lead vocals and Henley's harmonies. They co-wrote the song with frequent collaborator J.D. Souther.

"Heartache Tonight"

(L-R) Members of the band the Eagles Joe Walsh, Glenn Frey, and Timothy B. Schmit wave to the audience as they attend the Berklee College of Music Commencement Concert in Boston, May 11, 2012. Jessica Rinaldi/Reuters

A late '70s-early '80s anthem, "Heartache Tonight" appeared on the 1979 album "The Long Run" and won a Grammy Award for best rock vocal performance by a duo or group. Frey, Henley and Souther wrote the track with Bob Seger. Frey sang lead vocals.

"Hotel California"

Frey wrote the lyrics to what is probably the best known Eagles song. "Hotel California" won the 1977 Grammy Award winner for record of the year.