46.Prove Angle I + angle r = angle a + angle d where a is angle of prism and d is angle of deviation

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Q. For an equilateral prism if :

∠ i = a n g l e o f I n c i d e n c e

∠ e = a n g l e o f E m e r g e n c e

∠ P = a n g l e o f P r i s m

∠ D = a n g l e o f D e v i a t i o n

then which one relation is correct :

After tracing the path of a ray of light through a glass prism a student marked the angle of incidence ( $∠$ i), angle of refraction ( $∠$ r) angle of emergence ( $∠$ e) and the angle of deviation ( $∠$ D) as shown in the diagram. The correctly marked angles are: