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Question

From the figure, stack P Q with bar on top parallel to stack R S with bar on top text  and  end text stack P S with bar on top parallel to stack Q R with bar on top Then ( x – y)

  1. 30°    
  2. –30°    
  3. 40°    
  4. –40°    

The correct answer is: –30°


    x+2y =180  (complementary angles)

    angle Q P T plus angle Q P S space equals space 180
140 space plus angle Q P S space equals 180
angle Q P S equals 40
    Also

    angle Q P S plus angle R S P equals 180 space left parenthesis s u p p l e m e n t a r y space a n g l e s right parenthesis
40 plus 2 y space equals 180
2 y equals 180 minus 40
y equals 140 divided by 2
y equals 70
    Also x+2y = 180
    x+140 = 180
    x= 180-140
    x =40 degree

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