Angle Relationships in Lightray Reflections

AI Thread Summary
The discussion centers on the relationship between angles in a lightray reflection scenario involving two mirrors. The angles of interest are defined as angle a (between the mirrors), angle x (between the incoming lightray and mirror m1), and angle b (between the incoming lightray and outgoing lightray). Participants seek clarification on how to express angle BAC in terms of angle x and whether angle x is a given or assumed value. The conversation highlights the need for a mathematical proof to establish the relationship between these angles. Understanding these relationships is crucial for solving the problem effectively.
PintoCorreia
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Homework Statement

It turns out there is a relation between angle a and angle b. I can't figure it out, could someone give me a hint?

There's a lightray that is bouncing from two mirrors (m1 and m2).

The angle between those two mirrors is called a.

The angle between the incoming lightray l1 and the mirror m1 is called x.

The angle between the incoming lightray l1 and the outgoing lightray l3 called b.

T21HK.png


Homework Equations



incoming angle it outgoing angle

The Attempt at a Solution


I get stuck at the mathematical proof... Someone a clue?
 
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What are the given parameters ? Is 'x' a given quantity or some angle assumed by you ?

Look at the figure I have attached .Blue lines are normal lines to the two mirrors respectively.

What is ∠BAC in terms of x ?
 

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