You don't know what the lines are, but can you find the angle between them?

Geometry Level 5

A point \(P\), starting at \((2,6)\), was reflected across line \(m\) in the \((x,y)\) plane to produce point \(P^\prime\).

\(P^\prime\) was then reflected across line \(n\) in the \((x,y)\) plane to produce point \(P^{\prime\prime}\) at \((6,4)\).

If the lines \(m\) and \(n\) intersect at the point \((2,1)\), what is the angle, in degrees, that these lines form at their intersection?

Your answer should be less than 90 degrees, and correct to 1 decimal place.

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