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Q.

Find the value of x in figure.


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a

20°

b

30°

c

40°

d

50° 

answer is B.

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Detailed Solution

Given is a figure,
Question ImageFor reflection from a smooth surface, Angle of incidence = Angle of reflection.
AB is incident ray on first surface and BC is reflected ray.
BC act as an incident ray for second surface while CD act as a reflected ray.
Redraw the figure.
Question ImageFor first surface,
Angle of incidence = Angle of reflection
a= 60 °  
In ΔBEC  ,
Sum of angles of a triangle is 180°.
a+x+ 90 ° = 180 °  
60 ° +x+ 90 ° = 180 °  
x= 30 °  
The value of x= 30 °  .
Therefore, option (2) is correct.
 
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Find the value of x in figure.