Mirroring angles?

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Back again with another question.
I'm trying to mirror the angle of the exterior of my ship accross the blue line to create a small spoiler on the side approx. at the green line. But I have no idea how to do this. If there are any tools in Maya that could do it for me etc.
I thought I could just duplicate the faces, flip them and then cut off the extra but that would require pivoting around a very precise point and I don't know how to set the exact coordinates of the manipulator in order to achieve rotation/scaling around and exact point so that's out. Unless there's a way to do this and someone wants to share how with me?
So I resorted to trying to calculate the angle myself using vertex coordinates but my math isn't strong enough. I found an equation that could help but, sadly, I am way out of my depth here.
I'm pretty sure the first equation would be
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5.317 = √(-23.459-x′)^2 + (6-y′)^2
Just not sure how to solve for multiple variables 😐
Alternatively I tried looking up the "standard trig identities" as mentioned in the thread at stack exchange. There's one approximate bajillion of them. WHICH trig ids and HOW???
Anyway, I'm sure I'm doing this the most painfully complicated way possible. Anyone have a simpler solution?