EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
Which of the given figures is wrong?
  • (i)
    II
  • (ii)
    III
  • (iii)
    IV
  • (iv)
    I
Question 2
2.
Which of the following angles form a linear pair?
  • (i)
    (∠AOB,∠BOC)
  • (ii)
    (∠EOF,∠FOA)
  • (iii)
    (∠BOC,∠COD)
  • (iv)
    (∠COD,∠DOE)
  • (v)
    (∠DOE,∠EOF)
Question 3
3.
In the given figure, find the value of x.
  • (i)
    x
    =
    25.5°
  • (ii)
    x
    =
    29.5°
  • (iii)
    x
    =
    26.5°
  • (iv)
    x
    =
    27.5°
  • (v)
    x
    =
    28.5°
Question 4
4.
The following lines represent
  • (i)
    concurrent lines
  • (ii)
    coplanar lines
  • (iii)
    perpendicular lines
  • (iv)
    parallel lines
  • (v)
    intersecting lines
Question 5
5.
Which of the following is a right angle?
  • (i)
    360°
  • (ii)
    79°
  • (iii)
  • (iv)
    90°
  • (v)
    167°
Question 6
6.
The following angle represents
  • (i)
    complete angle
  • (ii)
    acute angle
  • (iii)
    obtuse angle
  • (iv)
    straight angle
  • (v)
    zero angle
Question 7
7.
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
  • (i)
    60°
  • (ii)
    59°
  • (iii)
    62°
  • (iv)
    58°
  • (v)
    61°
Question 8
8.
Find the co-interior angles in the given figure
  • (i)
    ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • (ii)
    ∠3 , ∠5 ; ∠4 , ∠6
  • (iii)
    ∠1 , ∠2 , ∠7 , ∠8
  • (iv)
    ∠3 , ∠6 ; ∠4 , ∠5
  • (v)
    ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
Question 9
9.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
  • (i)
    44°
  • (ii)
    43°
  • (iii)
    45°
  • (iv)
    46°
  • (v)
    47°
Question 10
10.
Find the value of 'q'
  • (i)
    85°
  • (ii)
    105°
  • (iii)
    90°
  • (iv)
    80°
  • (v)
    75°
Question 11
11.
One angle of a triangle measures 20° and the other two angles are in the ratio 3 : 13. Find these angles.
  • (i)
    B
    =
    31°
    ,
    C
    =
    131°
  • (ii)
    B
    =
    28°
    ,
    C
    =
    128°
  • (iii)
    B
    =
    32°
    ,
    C
    =
    132°
  • (iv)
    B
    =
    29°
    ,
    C
    =
    129°
  • (v)
    B
    =
    30°
    ,
    C
    =
    130°
Question 12
12.
If l ∥ m, which of the given figures is correct?
  • (i)
    IV
  • (ii)
    I
  • (iii)
    II
  • (iv)
    III
Question 13
13.
Find the value of x in the given figure.
  • (i)
    x
    =
    22°
  • (ii)
    x
    =
    23°
  • (iii)
    x
    =
    25°
  • (iv)
    x
    =
    26°
  • (v)
    x
    =
    24°
Question 14
14.
The following angle represents
  • (i)
    zero angle
  • (ii)
    complete angle
  • (iii)
    obtuse angle
  • (iv)
    reflex angle
  • (v)
    straight angle
Question 15
15.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    44.72°
  • (ii)
    x
    =
    46.72°
  • (iii)
    x
    =
    45.72°
  • (iv)
    x
    =
    43.72°
  • (v)
    x
    =
    42.72°
Question 16
16.
State the angle between the two hands of the clock when the time is 1 A.M.
  • (i)
    45°
  • (ii)
    30°
  • (iii)
    60°
  • (iv)
    35°
  • (v)
    40°
Question 17
17.
    • The representation
    • EF
    • indicates
  • (i)
    arc
  • (ii)
    angle
  • (iii)
    ray
  • (iv)
    line
  • (v)
    line segment
Question 18
18.
In the given figure l ∥ m. Find the value of 't'
  • (i)
    10
  • (ii)
    13
  • (iii)
    12
  • (iv)
    14
  • (v)
    11
Question 19
19.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    86°
    ,
    y
    =
    52°
    ,
    z
    =
    78°
  • (ii)
    x
    =
    90°
    ,
    y
    =
    52°
    ,
    z
    =
    74°
  • (iii)
    x
    =
    88°
    ,
    y
    =
    52°
    ,
    z
    =
    76°
  • (iv)
    x
    =
    88°
    ,
    y
    =
    50°
    ,
    z
    =
    78°
  • (v)
    x
    =
    86°
    ,
    y
    =
    54°
    ,
    z
    =
    76°
Question 20
20.
Which of the following are adjacent angles in the below figure?
  • (i)
    ∠KOI , ∠MON
  • (ii)
    ∠JOK , ∠LOM
  • (iii)
    ∠IOJ , ∠JOK
  • (iv)
    ∠MON , ∠JOK
  • (v)
    ∠LOM , ∠JOK
Question 21
21.
In the given figure, i , j , k , l , m , n  are lines in a plane. By looking at the figure, which of the following are true?
a)
    • i
    • is the transversal of
    • k
    • &
    • m
b)
    • n
    • is the transversal of
    • k
    • &
    • i
c)
    • m
    • is the transversal of
    • k
    • &
    • l
d)
    • i
    • j
e)
    • l
    • is the transversal of
    • i
    • &
    • j
f)
    • i
    • l
  • (i)
    {b,c,d,e}
  • (ii)
    {f,c}
  • (iii)
    {a,f,d}
  • (iv)
    {a,b}
  • (v)
    {a,e,b}
Question 22
22.
In  △EFG, if ∠E = 64° and ∠F = 67°, find the measure of ∠G
  • (i)
    G
    =
    47°
  • (ii)
    G
    =
    50°
  • (iii)
    G
    =
    51°
  • (iv)
    G
    =
    49°
  • (v)
    G
    =
    48°
Question 23
23.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    134°
  • (ii)
    x
    =
    135°
  • (iii)
    x
    =
    133°
  • (iv)
    x
    =
    132°
  • (v)
    x
    =
    136°
Question 24
24.
    • Points lying on the same line are called
  • (i)
    collinear points
  • (ii)
    semi-linear points
  • (iii)
    linear points
  • (iv)
    non-linear points
  • (v)
    concurrent points
Question 25
25.
Find the vertically opposite angles in the given figure
  • (i)
    ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
  • (ii)
    ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • (iii)
    ∠1 , ∠2 , ∠7 , ∠8
  • (iv)
    ∠3 , ∠6 ; ∠4 , ∠5
  • (v)
    ∠3 , ∠4 , ∠5 , ∠6
    Assignment Key

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