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Two mirrors m and n are perpendicular to each other at O .Ray AB is incident to the mirror m at point B and reflected back in the direction BC which is

again incident o the mirror n at point C Ray CD is the finally reflected ray.Prove that ray AB is parallel to Ray CD



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So we have theta asthe angle of incidence on the first mirror m.  Let Fie be the angle of incidence on the second mirror  n.

see the enclosed document.

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You should remember incident ray = reflected ray. if you see alternate angles are equal then the lines will be parallel. or if corresponding angles are equal then lines are parallel as well 
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i may not understand properly. post an image if you can so i can answer better
incident ray is NOT = reflected ray
i mean they are always equal. Search laws of reflection in google
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