EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
In a right angled triangle, if one of the angles is 33.69°, find the third angle
  • (i)
    66.31°
  • (ii)
    56.31°
  • (iii)
    71.31°
  • (iv)
    61.31°
  • (v)
    86.31°
Question 2
2.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    67.18°
  • (ii)
    x
    =
    68.18°
  • (iii)
    x
    =
    69.18°
  • (iv)
    x
    =
    71.18°
  • (v)
    x
    =
    70.18°
Question 3
3.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    22°
  • (ii)
    x
    =
    18°
  • (iii)
    x
    =
    20°
  • (iv)
    x
    =
    21°
  • (v)
    x
    =
    19°
Question 4
4.
In the given figure, if KI = KL = LJ, find the value of x
  • (i)
    x
    =
    32°
  • (ii)
    x
    =
    30°
  • (iii)
    x
    =
    31°
  • (iv)
    x
    =
    33°
  • (v)
    x
    =
    34°
Question 5
5.
Identify the figure below
  • (i)
    hexagon
  • (ii)
    octagon
  • (iii)
    line
  • (iv)
    quadrilateral
  • (v)
    circle
Question 6
6.
Find the interior angles in the given figure
  • (i)
    ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • (ii)
    ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
  • (iii)
    ∠1 , ∠8 ; ∠2 , ∠7
  • (iv)
    ∠3 , ∠6 ; ∠4 , ∠5
  • (v)
    ∠3 , ∠4 , ∠5 , ∠6
Question 7
7.
Identify the figure below
  • (i)
    octagon
  • (ii)
    triangle
  • (iii)
    quadrilateral
  • (iv)
    hexagon
  • (v)
    pentagon
Question 8
8.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    24.5°
  • (ii)
    x
    =
    21.5°
  • (iii)
    x
    =
    23.5°
  • (iv)
    x
    =
    22.5°
  • (v)
    x
    =
    20.5°
Question 9
9.
In the given figure, if EH = IE, find the values of x , y , z and t
  • (i)
    x =42.28°, y =24.3°, z =24.86° , t =112.14°
  • (ii)
    x =42.28°, y =26.3°, z =25.86° , t =111.14°
  • (iii)
    x =42.28°, y =24.3°, z =23.86° , t =111.14°
  • (iv)
    x =42.28°, y =22.3°, z =21.86° , t =111.14°
  • (v)
    x =42.28°, y =24.3°, z =22.86° , t =110.14°
Question 10
10.
Which of the following is an acute angle?
  • (i)
    360°
  • (ii)
    122°
  • (iii)
    90°
  • (iv)
    84°
  • (v)
    283°
Question 11
11.
In the given figure l ∥ m. Find the value of 'w'
  • (i)
    13
  • (ii)
    10
  • (iii)
    9
  • (iv)
    12
  • (v)
    11
Question 12
12.
Which of the given figures is wrong?
  • (i)
    I
  • (ii)
    IV
  • (iii)
    III
  • (iv)
    II
Question 13
13.
In the given figure, it is given that KJ ∥ ML , ∠KML = 43° and ∠KJI = 110°. Find the value of x.
  • (i)
    x
    =
    26°
  • (ii)
    x
    =
    27°
  • (iii)
    x
    =
    25°
  • (iv)
    x
    =
    28°
  • (v)
    x
    =
    29°
Question 14
14.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    57°
    ,
    y
    =
    35°
    ,
    z
    =
    92°
  • (ii)
    x
    =
    59°
    ,
    y
    =
    31°
    ,
    z
    =
    94°
  • (iii)
    x
    =
    59°
    ,
    y
    =
    33°
    ,
    z
    =
    92°
  • (iv)
    x
    =
    61°
    ,
    y
    =
    33°
    ,
    z
    =
    90°
  • (v)
    x
    =
    57°
    ,
    y
    =
    33°
    ,
    z
    =
    94°
Question 15
15.
Which of the following is a zero angle?
  • (i)
    90°
  • (ii)
    22°
  • (iii)
    154°
  • (iv)
    360°
  • (v)
Question 16
16.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    86°
    ,
    y
    =
    60°
    ,
    z
    =
    58°
  • (ii)
    x
    =
    84°
    ,
    y
    =
    64°
    ,
    z
    =
    56°
  • (iii)
    x
    =
    84°
    ,
    y
    =
    62°
    ,
    z
    =
    58°
  • (iv)
    x
    =
    86°
    ,
    y
    =
    62°
    ,
    z
    =
    56°
  • (v)
    x
    =
    88°
    ,
    y
    =
    62°
    ,
    z
    =
    54°
Question 17
17.
In a right angled triangle, if one of the angles is 53.75°, find the third angle
  • (i)
    36.25°
  • (ii)
    41.25°
  • (iii)
    46.25°
  • (iv)
    51.25°
  • (v)
    66.25°
Question 18
18.
Which of the following is a reflex angle?
  • (i)
    49°
  • (ii)
  • (iii)
    90°
  • (iv)
    204°
  • (v)
    180°
Question 19
19.
State the angle between the two hands of the clock when the time is 8 A.M.
  • (i)
    150°
  • (ii)
    135°
  • (iii)
    120°
  • (iv)
    125°
  • (v)
    130°
Question 20
20.
Which of the following are true?
a)
If two lines have infinite common points, then the two lines are concurrent
b)
If two lines have no common point, then the lines are parallel
c)
A straight line meets another straight line at atmost one point
d)
Only one straight line can be drawn between any two points
e)
If a line cuts another line at more than one point, then one of the line is curved
  • (i)
    {a,d}
  • (ii)
    {a,c}
  • (iii)
    {a,e,b}
  • (iv)
    {a,b}
  • (v)
    {b,c,d,e}
Question 21
21.
The following angle represents
  • (i)
    complete angle
  • (ii)
    acute angle
  • (iii)
    zero angle
  • (iv)
    obtuse angle
  • (v)
    right angle
Question 22
22.
In the given figure, △IJK in which ∠J = 51.82° and ∠K = 56.18°. IL and JK bisects each other. Find the value of z
  • (i)
    z
    =
    70°
  • (ii)
    z
    =
    73°
  • (iii)
    z
    =
    71°
  • (iv)
    z
    =
    74°
  • (v)
    z
    =
    72°
Question 23
23.
Which of the given figures is correct?
  • (i)
    IV
  • (ii)
    III
  • (iii)
    I
  • (iv)
    II
Question 24
24.
The following angle represents
  • (i)
    obtuse angle
  • (ii)
    zero angle
  • (iii)
    reflex angle
  • (iv)
    straight angle
  • (v)
    complete angle
Question 25
25.
In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.
  • (i)
    A
    =
    18°
    ,
    B
    =
    82°
    ,
    C
    =
    80°
  • (ii)
    A
    =
    20°
    ,
    B
    =
    78°
    ,
    C
    =
    82°
  • (iii)
    A
    =
    18°
    ,
    B
    =
    80°
    ,
    C
    =
    82°
  • (iv)
    A
    =
    22°
    ,
    B
    =
    80°
    ,
    C
    =
    78°
  • (v)
    A
    =
    20°
    ,
    B
    =
    80°
    ,
    C
    =
    80°
    Assignment Key

  •  1) (ii)
  •  2) (iii)
  •  3) (iii)
  •  4) (i)
  •  5) (iii)
  •  6) (v)
  •  7) (ii)
  •  8) (iv)
  •  9) (iii)
  •  10) (iv)
  •  11) (v)
  •  12) (i)
  •  13) (ii)
  •  14) (iii)
  •  15) (v)
  •  16) (iv)
  •  17) (i)
  •  18) (iv)
  •  19) (iii)
  •  20) (v)
  •  21) (v)
  •  22) (v)
  •  23) (iv)
  •  24) (ii)
  •  25) (v)