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The earthquake comes 32 years after a magnitude 8.0 earthquake on September 19, 1985, which killed an estimated 9,500 people in and around Mexico City. Earlier in the day buildings across the city held preparation drills on the anniversary of the 1985 quake.
It also comes one week after a magnitude-8.1 earthquake struck off the southern coast of the country, killing at least 61 people.
With more than 8 million people, Mexico City is one of the largest cities in the world.
Allen Hartleib had been waiting by the phone to hear from his loved ones for hours, before finally getting in touch with his family. His daughter is a teacher in Mexico City and his wife happened to be visiting her when the earthquake hit.
"I feel lost, I feel helpless, what can I do? I can't do anything. I can't go there, even if I wanted to," Hartleib said Tuesday.
He tried to be patient and understood many other families were also trying to get in touch with loved ones.
Hartleib said he heard through a family friend his wife and daughter are safe, but without electricity.