It sounds like a Ruger 77 'tang safety' (first generation), based on the red recoil pad.
The barrel will be a crapshoot, as mentioned above.
And the claw extractor has to snap over the rim for chambering, which some people find annoying. (Increased force required to close the bolt, versus competing or similar rifles.)
But, they're generally good rifles. (I own one. It shot better with the factory barrel than the Shilen match barrel that I have on it now!)
As for the trigger....
Standard production M77 tang-safety rifles came with an adjustable trigger. Stock, they could be taken down to under 3 lbs for the standard version, and below 1 lb for the varmint/target version.
If the rifle doesn't have the adjustable trigger, and an improvement is desired, several companies offer replacement springs, or improved and/or adjustable replacement triggers (such as Timney, Rifle Basix, and dozens of 'cottage' gunsmithing shops). Once in a blue moon, take-off varmint triggers come up for sale on auction sites such as GunBroker.
If you buy a 77 tang-safety, check to see if the front action screw (angled forward, on the bottom of the action, inside and at the front of the magazine floor plate) has been over-tightened and crushed the stock. If so, the rifle may not shoot well until a bedding pillar is installed to allow the action to seat properly again. It's a very common problem (even one that my own 77 tang safety has).
--An easy (but not 100% reliable) way to check without removing the screw, is to push the magazine floor plate release inside the trigger guard. If the floor plate pops open with very little pressure, or almost imperceptible movement, then the screw has likely been over-torqued. This test works because once the wood has been crushed, the floor plate hinge is pulled farther forward by the screw and reduces latch engagement. And if it pops open with almost no movement from the latch, it may pop open with recoil, as well (dumping the contents of the magazine on the ground).
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If the rifle is not a "tang safety" model, then it will be an M77 Mk II or an M77 Hawkeye.
I like the Mk IIs, and consider them adequate to great. (I own one. It has a Timney trigger, now.)
I'm not so much of a fan of the Hawkeye, but they're almost exactly the same as the 77 Mk II. Much of my dislike of the Hawkeye comes from the cheaper stocks, the two-tone finish, the fact that Ruger admitted that it was a 'cheaper to produce' version of the Mk II, and
the one that cut me during inspection, due to poor machining of the
outside of the receiver. (I don't own a Hawkeye, but have shot several. They shoot. I just don't like them.

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