On its own, an asking price of '£180k and above' and the reasonableness of your £177k offer says nothing.
Assuming you are in the UK, are you in Scotland, or elsewhere, as the systems are different.
If you are not in Scotland with it's different 'offers over' system, no-one can say without more context regarding the price as in, what can you get for £180k elsewhere in the area.
How long has it been for sale and what is the condition like? If it needs a lot of work and/or has been on the market for months, it's a highly different proposition to it being new to the market and/or in a ready to move in condition.
I could put my house up for sale for £180k and you offered me £177k for it, I'd bite your hand off, because it's worth £150/160k at best.
If it's at the lower end pricewise for your area and houses are selling within days of coming on the market for £10/20k above asking, chances are someone else will see it over the weekend and offer more than you have.
What's the basis of family advising that 'you never offer asking price'? Recent knowledge of the market or their experience when they bought years ago?
If it's offers above, and it's not been hanging around for months, your £177k offer is probably a non starter, but if a lot of people are viewing the property, they might go to 'best and final offers' where everyone who's expressed an interest in the property gives their best and final offer and the vendors choose one. This is not necessarily the highest one BTW. If you offer £186k and someone offers £189k but you're a FTB and they're in a chain, they might pick yours because the sale might be smoother for them.
But you do have to consider the valuation, and your deposit, because if it's valued at less than your offer price, which it could be, and your deposit is tight on LTV, you might not be able to get the mortgage you need or it could at least push you up the % brackets and when you get to 90 or 95% LTV, the interest rate is significantly higher, so do your sums carefully if this applies to you.