Recovering angles from a CFrame

I’m setting a custom camera CFrame in the following manner:

local cameraCFrame = CFrame.new() -- initialization to some position here
cameraCFrame = CFrame.new(cameraCFrame.p)
			* CFrame.Angles(0, math.rad(rotateLeftRight), 0)
			* CFrame.Angles(math.rad(rotateUpDown), 0, 0)
 -- where rotateLeftRight and rotateUpDown are some numbers

Once I set a CFrame, how can I get an existing CFrame and retrieve the numbers that would fit in the above equation as rotateLeftRight and rotateUpDown? Using CFrame.ToEulerAnglesXYZ does not seem to give me those numbers.