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In neutral geometry: Let R = rl ◦rm be a rotation given by reflection in a...

In neutral geometry: Let R = rl ◦rm be a rotation given by reflection in a line m followed by reflection in a line l (m and l are distinct lines). Let O = m∩l be the fixed point of R. Let θ = m AOR(A) for some point A not equal to O. Let X be a point distinct from O on the line m and let Y be a point distinct from O on the line l. Suppose R(X) is on the same side of m as Y. Prove

that  mXOY = (1/2)θ.

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