Are my records going to melt?

My uncle recently passed away and my aunt knew how much I love music and specifically the music that he listened to, and has offered to give me his entire record collection. There are a about 500 records. He started buying new (mostly rock) albums as a teenager in the mid-60s and continued to buy albums right up until they started making cassette tapes, so as you can imagine, there are quite a few amazing records and he kept them in pristine condition.

Here's the thing: I currently live in Las Vegas. During the day when my wife and I are at work, I basically turn the AC off to save money and turn in back on just before we come home. So during the day, the temperature in the house can get up to 89 degrees (that's where the thermostat is actually set) pretty much the entire summer.

I'm wondering if this temperature will ruin the albums. I'm not going to sell the collection no matter what, but I'm thinking that maybe I should leave them with my mother (in Ohio) rather than bring them here. Or at least keep the nicer albums at her house and only bring the ones that are already heavily played or generally worn that I am going to use.

What do you think?