ICSE Board Practice

ICSE Grade VI - Triangles
Question 1
1.
Calculate the value of the lettered angle in the following figure
  • x
    =
    61.17°
  • x
    =
    60.17°
  • x
    =
    62.17°
  • x
    =
    58.17°
  • x
    =
    59.17°
Question 2
2.
In the given figure, find ∠JHI
  • 106°
  • 102°
  • 103°
  • 104°
  • 105°
Question 3
3.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
  • 43°
  • 45°
  • 46°
  • 44°
  • 47°
Question 4
4.
In  △CDE, if ∠C = 63° and ∠D = 67°, find the measure of ∠E
  • E
    =
    50°
  • E
    =
    48°
  • E
    =
    49°
  • E
    =
    52°
  • E
    =
    51°
Question 5
5.
Each of the two equal angles of an isosceles triangle is half the third angle. Find the angles of the triangle
  • X
    =
    45°
    ,
    Y
    =
    90°
    ,
    Z
    =
    45°
  • X
    =
    45°
    ,
    Y
    =
    88°
    ,
    Z
    =
    47°
  • X
    =
    43°
    ,
    Y
    =
    92°
    ,
    Z
    =
    45°
  • X
    =
    43°
    ,
    Y
    =
    90°
    ,
    Z
    =
    47°
  • X
    =
    47°
    ,
    Y
    =
    90°
    ,
    Z
    =
    43°
Question 6
6.
Which of the following are measures of an obtuse angled triangle ?
  • ∠D = 39.81° , ∠E = 90° , ∠F = 50.19°
  • ∠D = 45° , ∠E = 90° , ∠F = 45°
  • ∠D = 76.33° , ∠E = 55.3° , ∠F = 48.37°
  • ∠D = 74.85° , ∠E = 55.83° , ∠F = 49.32°
  • ∠D = 134.62° , ∠E = 20.85° , ∠F = 24.53°
Question 7
7.
Find the measures of the three angles suitable to form a triangle?
  • ∠H = 59.41° , ∠I = 67.97° , ∠J = 52.62°
  • ∠H = 96.80° , ∠I = 90.60° , ∠J = 42.50°
  • ∠H = 89.80° , ∠I = 115.20° , ∠J = 115.10°
  • ∠H = 31.30° , ∠I = 61.30° , ∠J = 33.60°
  • ∠H = 56.40° , ∠I = 109.60° , ∠J = 103.90°
Question 8
8.
In below given figure, find ∠ECG
  • 109.83°
  • 108.83°
  • 110.83°
  • 112.83°
  • 111.83°
Question 9
9.
Consider the following figure. State which of the following statements are true
a)
    •  


      EF
       
       
    • =
    •  


      FG
       
       
b)
    •  


      FG
       
       
    •  


      GE
       
       
c)
    •  


      EF
       
       
    •  


      FG
       
       
d)
    •  


      GE
       
       
    • =
    •  


      EF
       
       
e)
    •  


      GE
       
       
    •  


      EF
       
       
f)
    •  


      FG
       
       
    • =
    •  


      GE
       
       
  • {b,c,d}
  • {f,a,d}
  • {e,b,c}
  • {a,b}
  • {e,c}
Question 10
10.
    • The vertex opposite to the side
    •  


      NL
       
       
  • M
  • P
  • L
  •  


    NO