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Geometry And Mensuration Test - 1

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Geometry And Mensuration Test - 1
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Weekly Quiz Competition
  • Question 1
    1 / -0.25

    In the adjoining figure, find ∠x.

    Solution

    OA = OB = OX (radii of a circle)

     

  • Question 2
    1 / -0.25

    In the adjoining figure, find ∠x.

    Solution

     

  • Question 3
    1 / -0.25

    In the following diagram, if ∠B : ∠C = 3 : 4, then find ∠B.

    Solution

    Let ∠B and ∠C be 3x and 4x respectively

    Then, 3x + 4x = 140 or x = 20°

    (Sum of opposite interior angles is equal to exterior angle)

    ∴ ∠B = 3x = 3 × 20 = 60°

     

  • Question 4
    1 / -0.25

    In ΔABC, ∠A = 90°, AD is perpendicular to BC and ∠B = 45°. If AB = x, then find AD in terms of x.

    Solution

     

  • Question 5
    1 / -0.25

    In the given figure, if ∠DBG is 55° and ∠CBF is 115°, then find ∠EBC.

    Solution

     

  • Question 6
    1 / -0.25

    What is the value of ‘d’ in the given figure?

    Solution

     

  • Question 7
    1 / -0.25

    The diagonals AC and BD of a parallelogram ABCD intersect at O. If ∠DAC = 30°, ∠AOB = 80° then ∠DBC is

    Solution

     

  • Question 8
    1 / -0.25

    Triangles ABC and DEF are similar. Their areas are 64 cm2 and 49 cm2 respectively. If AB is 7 cm, then find the length of DE.

    Solution


     

  • Question 9
    1 / -0.25

    In the given figure ∠DBE = 36° and ∠DBC = 72°. Find value of ∠BDE.

    Solution

     

  • Question 10
    1 / -0.25

    In the given circle, OA = 8 cm and ∠AOB = 132°. Find ∠ABO if O is the center of the circle.

    Solution

     

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