CBSE Board Practice

CBSE Grade VII - The Triangle and its Properties
Question 1
1.
In the given figure, △HIJ in which side IJ has been produced to K. If ∠JHI = x° , ∠HIJ = (1/3a)° , ∠IJH = (1/2a)° and ∠HJK = (1a)°, find the values of a and x.
  • a
    =
    118°
    ,
    x
    =
    78°
  • a
    =
    121°
    ,
    x
    =
    81°
  • a
    =
    119°
    ,
    x
    =
    79°
  • a
    =
    120°
    ,
    x
    =
    80°
  • a
    =
    122°
    ,
    x
    =
    82°
Question 2
2.
Find the unknown angle in the following figure
  • x
    =
    54.13°
  • x
    =
    57.13°
  • x
    =
    55.13°
  • x
    =
    53.13°
  • x
    =
    56.13°
Question 3
3.
In a right-angled triangle if one of the acute angles is 28°, find the measure of the other acute angle.
  • 62°
  • 64°
  • 61°
  • 60°
  • 63°
Question 4
4.
Find the angles of the triangle
  • I
    =
    60°
    ,
    J
    =
    45°
    ,
    K
    =
    75°
  • I
    =
    62°
    ,
    J
    =
    45°
    ,
    K
    =
    73°
  • I
    =
    60°
    ,
    J
    =
    43°
    ,
    K
    =
    77°
  • I
    =
    58°
    ,
    J
    =
    47°
    ,
    K
    =
    75°
  • I
    =
    58°
    ,
    J
    =
    45°
    ,
    K
    =
    77°
Question 5
5.
In a right angled triangle, if one of the angles is 40.6°, find the third angle
  • 49.4°
  • 64.4°
  • 59.4°
  • 54.4°
  • 79.4°
Question 6
6.
    • The vertex opposite to the side
    •  


      XV
       
       
  • W
  •  


    XY
     
     
  • Z
  • V
Question 7
7.
Which of the following are measures of an equilateral triangle ?
  • OP = 12 cm , PQ = 10 cm , QO = 15.62 cm
  • OP = 13 cm , PQ = 10 cm , QO = 13 cm
  • OP = 13 cm , PQ = 13 cm , QO = 13 cm
  • OP = 13 cm , PQ = 11 cm , QO = 14 cm
  • OP = 12 cm , PQ = 12 cm , QO = 16.97 cm
Question 8
8.
    • Find the unknown angles in the following figure
  • F
    =
    55°
    ,
    G
    =
    55°
  • F
    =
    56°
    ,
    G
    =
    56°
  • F
    =
    57°
    ,
    G
    =
    57°
  • F
    =
    54°
    ,
    G
    =
    54°
  • F
    =
    58°
    ,
    G
    =
    58°
Question 9
9.
Two angles of a triangle measure 68° and 57° respectively. Find the measure of the third angle of the triangle
  • 53°
  • 57°
  • 56°
  • 54°
  • 55°
Question 10
10.
Find the unknown marked angle in the following figure
  • x
    =
    53.1°
  • x
    =
    49.1°
  • x
    =
    50.1°
  • x
    =
    51.1°
  • x
    =
    52.1°