Most coups are organic. The US involvement in the Iran coup of 1953 was not very much, but the signal of support was meaningful. Ditto Chile in 1973. Ukraine's overthrow was not like those coups. It relied on popular support from the region near the capital. However, this support was not uniform across the country, and support for the protests hovered around 50% and never reached 60%.
https://en.wikipedia.org/wiki/Euromaidan#Public_opinion_abou...
>According to a January poll, 45% of Ukrainians supported the protests, and 48% of Ukrainians disapproved of Euromaidan.
>In a March poll, 57% of Ukrainians said they supported the Euromaidan protests.
The polling variation was large. The government was overthrown in February. But the western regions were massively in favor, and surrounded the capital, while the southeast was mostly opposed. Well-functioning states rely on political processes instead of simply overturning the government whenever a majority of citizens opposes it.
Given the polling data and the division of public opinion, I don't support what happened in February 2014. But that doesn't make it a coup -- a coup is a transfer of power that originates specifically within the government, and Ukraine's protests weren't like that. Nor does it justify Russia's invasion. What happened was more like a feudal power struggle. It doesn't help that before new elections could be held, the interim government banned several political parties. Maybe they were "pro-Russian", but democracy means voters deserve a say in a country's geopolitical alignment, so that doesn't seem like a valid reason to ban a political party to me.
>but maybe you can point exactly to the US involvement
Now this sounds like a joke. US politicians, including Vice President Joe Biden and several senators, attended the protests. This makes American support pretty obvious. US media at the time also tended to minimize domestic opposition to the protests, even though this was a significant position within Ukraine.
OP alluded to the Euromaiden protests being an orchestrated Obama-led coup. I still don't see how this is the case. There's some difference between diplomatic reactions to proactive overthrow