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71. In a △ABC, ∠A + ∠B = 75° and ∠B + ∠C = 140°, then ∠ B is
  A.  40°
  B.  35°
  C.  55°
  D.  45°
     
   
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72. The mid-points of sides AB and AC of a triangle ABC are respectively X and Y. If (BC + XY) = 12 units, then the value of (BC − XY) is:
  A.  2 units
  B.  6 units
  C.  8 units
  D.  4 units
     
   
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73. If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is:
  A.  37°
  B.  41°
  C.  42°
  D.  49°
     
   
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74. If the measures of the angles of a triangle are in the ratio 1 : 2 : 3 and if the lenght of the smalles side of the triangle is 10cm, then the lenght of the longest side is
  A.  20 cm
  B.  25 cm
  C.  30 cm
  D.  35 cm
     
   
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75. The sum of two angles of a triangle is 116° and their difference is 24°. The measure of the smallest angle of the triangle is:
  A.  38°
  B.  28°
  C.  46°
  D.  64°
     
   
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76. In △ ABC and △DEF, if ∠a = 50°, ∠b = 70°, ∠C = 60°, ∠D = 60° ∠E = 70° and ∠F = 50°, then
  A.  △ABC ~ △FED
  B.  △ABC ~ △DFE
  C.  △ABC ~ △EDF
  D.  △ABC ~ △DEF
     
   
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77. D and E are the points on the sides AB and AC respectively of a △ ABC and AD = 8 cm, DB = 12 cm, AE = 6 cm and EC = 9 cm, the BC is equal to:
  A.  2/5DE
  B.  5/2DE
  C.  3/2DE
  D.  2/3DE
     
   
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78. In a △ABC, D and E are points on AC and BC respectively, AB and DE are perpendicular to BC. If AB = 9 cm, DE = 3 cm AC = 24 cm, then AB is:
  A.  32 cm
  B.  16 cm
  C.  8 cm
  D.  4 cm
     
   
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79. If a triangle the length of the side opposite the angle which measures 45° is 8 cm, what is the length of the side opposite to the angle which measures 90°?
  A.  8√2 cm
  B.  4√2 cm
  C.  8√3 cm
  D.  4√3 cm
     
   
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80. In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incentre of △ABC, ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are
  A.  15, 130
  B.  15, 125
  C.  35, 40
  D.  30, 150
     
   
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