To answer all the issues you raise would require a book on US electrical wiring. Or several. And a copy of the Code.
The vast majority of outlets in residences in the US are attached to branch circuits that are rated at 15 Amps and 120 Volts. Current practice and code calls for outlets like these
This version is tamperproof, required in many jurisdictions. The non-tamperproof look similar, but the slots do not have internal baffles
You may see different styles, such as Decora, or decorator style, which are functionally identical to basic outlets, but have a rectangular face
20 Amp circuits generally require slightly different outlets (if you are going to draw the full 20 Amps or there is only one outlet on the line) like these
But you can also find the lower 15 Amp outlets on circuits that are properly wired for 20 amps. Obviously 15 Amp outlets are limited in use to 15 Amp appliances, even if they are on a 20 Amp line.
Certain locations, especially where there is a risk of moisture, such as bathrooms, require a ground fault interruper (GFI) type outlet
These also come in tamper resistant and 20 Amp versions and vary like the basic outlets.
All of the above are grounded outlets, required in almost every jurisdiction for new construction and renovations. Some older installations may have ungrounded outlets.
These generally cannot be used except as a direct replacement for an existing one, and even then setting up a properly grounded outlet is preferred and may be required.
All of the 120 Volt outlets require a hot wire (usually black or red) and a neutral wire (always white). Grounded outlets also require a ground wire (green or bare). Outlets can be always live or switched. Live outlets have the hot wire coming directly from circuit without interruption. Switched outlets have the hot wire going through one or more switches before reaching the outlet so that the power can be turned on or off.
All of the 15-20 amp outlets shown above are duplex, that is there are two receptacles for plugs on each. These almost always are bonded together by a strip of metal. When you wire to one, both are energized. This bonding strip can be broken off allowing each of the receptacles on the outlet to be powered separately. This is most often done to allow one receptacle to be always live and one to be switched. This also allows each receptacle to be on a separate branch circuit (for heavy power use).
Some residences use higher amperage outlets for large appliances, such as an electric stove or dryer, and the outlets vary base upon a number of factors. Examples can be seen in the chart linked in the question.
Similarly, some residences use 240 Volts for large appliances and wells, and the outlets also vary considerably, and can be seen on the linked chart.
This is a very brief summary of the type of outlets most commonly seen in US homes. The full range of outlet types and uses is beyond a simple summary. The range of possible switching and wiring configurations also is nearly infinite. But this site welcomes questions on any particular configuration or problem you may encounter, so ask away.
Well, first of all...you probably didn't have an actual 277volts. What you had is a cheap meter. I have seen all kinds of whacky voltage readings from the $5 harbor freight meters I have laying around.
The only place one sees something other than 120 or 240 volts in a "normal" residential setting is the very rare "3 phase power". The vast majority of homes do not have any 3 phase power available. It has to be run to the house specifically as an unusual setup. When this exists in a home it would add "208V" to the list of possible voltages. Again, very rare and probably not at your house.
The only place you would see a real 277V is in a big factory. It is normally used for HUGE machines such as big welders and bigger shop equipment than you have probably seen before. Normal DIY shop equipment runs on 120V. Big shop equipment runs on 240V. HUGE shop equipment requires 3 phase connection with the 208V "wye 3 phase" mentioned above. It is extremely rare in a house. The 277V delta 3 phase would never be seen in a house, and only rarely in any commercial building you have been in. It is typical only in large factories.
Now as for what's probably wrong...you probably have a loose connection or a broken wire on one side of your 220 connection. This would give you 0v between the two hots, but still 120 from 1 hot to neutral.
As for how to fix it? Hire an electrician. Could you fix it yourself? maybe. Could you burn your house down? maybe. Could you sleep at night after messing with it yourself? only just maybe. Hire a professional for anything that is a combination of dangerous and slightly outside your comfort zone.
Best Answer
It is possible it is the dryers, but not likely. You have checked the socket for the source of the problem and it doesn't seem to be there. Next check the cord you are using and double check the wiring of the cord to the dryer.