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Fill in all your system specs in your profile, the best that you can.
That sounds like a video card not getting enough power, (or is broken) like if you booted up and forgot to connect a 6pin power connector or PSU could be too weak (broken?) to handle the card.
Or a heat issue on the video card itself, like thermal paste and/or heatsink fan failure.
The monitor itself is still on, totally from it's own power.
I would acquire a Linux distribution LIVE disc and boot to it [makes no changes to hardware at all] and if it runs perfectly for a while, than it's not a power issue. [distrowatch.com for various flavors of Linux, get a Live that fits on CD if download size is issue]
So in summary, probably a video card failure due to lack of power issue or heat, swap the card out for an old one is first thing I would do and clean out case and check all the fans involved.
Replace paste on video card and retest if you don't have a spare old card.
Artic MX-4 is recommended thermal paste, $10 gets you multiple applications of it, I'd replace it anyway.
You able to boot into safe mode?