Question

A ray is incidence on plane mirror M1 with incidence angle 50° after reflection from M2. The reflected ray becomes parallel to the mirror M1. The 'x' is​

Answer 1

Step-by-step explanation:

α=90°−θ

β=θ

⟹θ+β+γ=180° (In △)

⟹θ+θ+γ=180°

∴γ=180°−2θ

∵δ=90°−γ

∴δ=90°−(180°−2θ)=2θ−90°

θ=90°−δ=90°−(2θ−90°)

⟹θ=180°−2θ

⟹3θ=180°

∴θ=60°

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Answer 2

Step-by-step explanation:

angle of incidence=50°

angle of reflection =50°

angle inside triangle with mirror M1=90-50=40°

Ray become parallel after reflection from mirror M2 this Ray makes angle @ with mirror M2 (corresponding angle)

angle of incidence = angle of reflection =90-@

angle inside triangle with mirror M2=90-(90-@)=@

@+@+40=180. (I used @ instead of theata)

2@=140

@=70°