Total up the available wattage used by your system.
Then add 30-35W for the 1030 or 50W for the RX 550. At a guess neither card will work with a 180W PSU, but the 1030 is more apt to work. Without any PC specs no way to tell what you have, so no help doing that.
Many PCs with low output PSU are also in slim or small form factor (SFF) cases. If you have a SFF case get a "low profile" video card.
Without any PC specs no way to tell what you have. Good Luck.
Not a good idea at all. You will be maxing out whats likely a low end PSU thats not made to run a GPU. Many HP and Dell systems with small PSUs like that won't even run it anyway, some even have PCIe slots that don't supply full wattage.
the A10-9700 is a 65W part.
MB, hard drives, etc = 25W
Video card = 40W ?
Total 130W, ....maybe. But the problem will be 12V power. Check the sticker on the 180W PSU for the number of 12V amps. If the PSU gives 35W for 5v and 3.3v leaving 145W for 12V then you don't fit. PSU will not deliver 100% of rated power once it gets hot.
But what the hey, try it with the gtx 1030 and see what happens.