I wasn’t aware some high voltage lines were DC. Interesting.
Most power distribution lines, of course, are AC. As many have already pointed out, the primary reason is because transformers can be used (transformers can’t be used w/ DC).
But the FUNDAMENTAL reason is because insulation is cheaper than copper. Let me explain with an overly simplistic example:
Let’s say you want to transfer 100,000 watts from point A to point B. A nifty way to do this is to use electricity. But at what current and voltage?? (Don’t worry about AC vs. DC for now.) Power = Voltage x Current. So for a given power we can use a high voltage and low current (100,000 V at 1 amp, for example), a low voltage at high current (100,000 amps at 1 volt, for example), or anything in-between.
A high current at low voltage sucks because I^2R losses in the conductors become prohibitively large unless you use extremely large gage conductors. This would be very expensive, and the cables would need supports about every 10 feet.
A high voltage at low current allows the use of much smaller conductors. The only price you pay is that you must use special techniques for holding-off the high voltage (special insulation, minimum distances, etc.) But the cost of this is much cheaper than using 0000 gage wire.
So one thing is settled: Transferring a high voltage at low current is much more efficient than transferring a high current at low voltage. But should it be AC or DC?
Let’s say a power station generates electricity and somehow boosts it up to 100,000 VDC (at 1 amp). Sure, the line losses are relatively low because of the low current, but how do you convert the 100,000 VDC to something you can use at your house or business, like 120 VDC (or 120 VAC, for that matter)? Answer: It ain’t easy. There is no simple, reliable, and efficient way to do it! Resistor dividers (and linear regulators) are horribly inefficient. And switched-mode converters are complex, unreliable, and expensive. (Note that I glossed over the part of how the power company boosted the voltage to 100,000 VDC from the generators, but the same problem would apply there also.)
But with AC it’s a different story. The power company can take whatever AC voltage & current is produced by their generators, easily & efficiently boost it to a higher voltage & lower current using a transformer, transmit the power over small conductors, and easily & efficiently reduce the voltage before it gets into your home with the use of another transformer.
Conclusion: High voltage is more efficient because insulation is cheaper than copper. But this requires boosting the voltage at the power station, and lowering the voltage at businesses and homes. AC is used because transformers can be used to do this job - there is no simple, reliable, and efficient way to boost/lower DC voltages.