Fastest path to tween in gui degree rotation

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Interesting problem, here’s my solution.

Solution 
local UserInputService = game:GetService("UserInputService")
local tweenService = game:GetService("TweenService")

function angleBetweenSigned(vector1, vector2)
	local x1 = vector1.X
	local x2 = vector2.X
	local y1 = vector1.Y
	local y2 = vector2.Y
	local angle = math.atan2(x1*y2-y1*x2,x1*x2+y1*y2)
	return -angle
end

UserInputService.InputChanged:connect(function(input)
	local unitVector2 = Vector2.new(0.482, 0.472) + Vector2.new(input.Delta.X * 0.05, input.Delta.Y * 0.05)

	-- Stats
	--script.Parent.Parent.Pos.Text = tostring(input.Position)
	--script.Parent.Parent.Delta.Text = tostring(unitVector2)

	-- Delta Frame
	tweenService:Create(script.Parent, 
		TweenInfo.new(0.1, Enum.EasingStyle.Linear, Enum.EasingDirection.InOut), 
		{Position = UDim2.new(unitVector2.X, 0, unitVector2.Y, 0)}):Play()

	-- Pointer
	local pointer = script.Parent.Parent.Pointer
	--Assumes when rotation = 0 degrees, gui arrow is pointing up
	local pointerDirection = Vector2.new(math.sin(math.rad(pointer.Rotation)),math.cos(math.rad(pointer.Rotation)))
	local deltaDirection = Vector2.new(input.Delta.X, -input.Delta.Y)

	local additionalAngle = angleBetweenSigned(pointerDirection, deltaDirection)
	additionalAngle = math.deg(additionalAngle)	

	tweenService:Create(pointer, 
		TweenInfo.new(0.1, Enum.EasingStyle.Linear, Enum.EasingDirection.InOut), 
		{Rotation = pointer.Rotation+additionalAngle}):Play()
		
end)

How it works is that I converted the GUI.Rotation into a vector2, then found the input delta and converted it into a vector2 then used this angle between vectors formula I found online in the MatLab Forum to find the angular difference between the two vectors whether to rotate clockwise or counterclockwise then I just add this to the current pointer rotation and tell the tweenservice to tween it into that direction.

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