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51. The measure of the angle between the internal and external bisectors of an angle is
  A.  90°
  B.  90°
  C.  90°
  D.  90°
     
   
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52. In a triangleABC,the medians AD,BE and CF meet at G,then which of the following is true?
  A.  AB+BC+AC>AD+BE+CF
  B.  AB+BC+AC>AD+BE+CF
  C.  AB+BC+AC>AD+BE+CF
  D.  AB+BC+AC>AD+BE+CF
     
   
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53. In a △ABC, AB/AC=BD/DC,∠B = 70° and ∠C = 50°,then ∠BAD = ?
  A.  30°
  B.  30°
  C.  30°
  D.  30°
     
   
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54. In △ABC, ∠A < ∠B The altitutde to the base divides vertex angle C into two parts C1 and C2 with C2, adjacent to BC. Then
  A.  C1 + C2 = A + B
  B.  C1 − C2 = A − B
  C.  C1 − C2 = B − A
  D.  C1 + C2 = B − A
     
   
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55. In △ ABC, ∠ B = 60°, ∠C=40°, AB is the bisector of ∠A and AE is drawn perpendicular on BC from A. Then the measure of ∠EAD is
  A.  40°
  B.  30°
  C.  10°
  D.  80°
     
   
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56. In △ ABC, ∠A = 90°, BP and CQ are two medians. Then the value of BP2 + CQ2/BC2 is
  A.  4/5
  B.  5/4
  C.  3/4
  D.  3/5
     
   
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57. In △ ABC, AB = AC. O is a point on BC such that BO = CO and OD is perpendicular to AB and IE is perpendicular to AC. If ∠BOD - 30°, the meansure of ∠AOE is:
  A.  45°
  B.  60°
  C.  75°
  D.  30°
     
   
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58. O is the orthocentre of △ABC. Then ∠BOC + ∠BAC is equal to
  A.  120°
  B.  135°
  C.  180°
  D.  90°
     
   
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59. ABC is a triangle and the sides AB, BC and CA are produced to E, F and G respectively. If ∠ CBE = ∠ ACF = 130°, then the value of ∠ GAB is
  A.  100°
  B.  130°
  C.  80°
  D.  90°
     
   
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60. The meausres of two angles of a triangle are in the ratio 4:5. If the sum of these two meausres is equal to the measure of the third angle, find the smallest angle.
  A.  10°
  B.  50°
  C.  90°
  D.  40°
     
   
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