EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
Find the co-interior angles in the given figure
  • (i)
    ∠1 , ∠2 , ∠7 , ∠8
  • (ii)
    ∠3 , ∠5 ; ∠4 , ∠6
  • (iii)
    ∠1 , ∠8 ; ∠2 , ∠7
  • (iv)
    ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
  • (v)
    ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
Question 2
2.
The following angle represents
  • (i)
    acute angle
  • (ii)
    reflex angle
  • (iii)
    right angle
  • (iv)
    straight angle
  • (v)
    complete angle
Question 3
3.
Identify the figure below
  • (i)
    angle
  • (ii)
    decagon
  • (iii)
    pentagon
  • (iv)
    nonagon
  • (v)
    triangle
Question 4
4.
What fraction of clockwise revolution does the hour hand of a clock covers, when it goes from 12 to 2?
  • (i)
    1

    2
  • (ii)
    1

    6
  • (iii)
    1

    4
  • (iv)
    1

    8
  • (v)
    (
    -1

    6
    )
Question 5
5.
In the given figure, KL ∥ MN and KM = MO. Find the values of x,y and z.
  • (i)
    x
    =
    30°
    ,
    y
    =
    59°
    ,
    z
    =
    60°
  • (ii)
    x
    =
    28°
    ,
    y
    =
    63°
    ,
    z
    =
    58°
  • (iii)
    x
    =
    30°
    ,
    y
    =
    61°
    ,
    z
    =
    58°
  • (iv)
    x
    =
    28°
    ,
    y
    =
    61°
    ,
    z
    =
    60°
  • (v)
    x
    =
    32°
    ,
    y
    =
    61°
    ,
    z
    =
    56°
Question 6
6.
The following lines represent
  • (i)
    coplanar lines
  • (ii)
    concurrent lines
  • (iii)
    perpendicular lines
  • (iv)
    parallel lines
  • (v)
    intersecting lines
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)
    61°
  • (ii)
    60°
  • (iii)
    59°
  • (iv)
    58°
  • (v)
    62°
Question 8
8.
In a right angled triangle, if one of the angles is 51.34°, find the third angle
  • (i)
    53.66°
  • (ii)
    48.66°
  • (iii)
    38.66°
  • (iv)
    43.66°
  • (v)
    68.66°
Question 9
9.
Which of the given figures is correct?
  • (i)
    III
  • (ii)
    I
  • (iii)
    IV
  • (iv)
    II
Question 10
10.
Find the value of 'i' in the following figure
  • (i)
    13
  • (ii)
    9
  • (iii)
    10
  • (iv)
    11
  • (v)
    8
Question 11
11.
The following angle represents
  • (i)
    zero angle
  • (ii)
    straight angle
  • (iii)
    right angle
  • (iv)
    complete angle
  • (v)
    acute angle
Question 12
12.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    82°
    ,
    y
    =
    58°
    ,
    z
    =
    62°
  • (ii)
    x
    =
    78°
    ,
    y
    =
    60°
    ,
    z
    =
    64°
  • (iii)
    x
    =
    78°
    ,
    y
    =
    58°
    ,
    z
    =
    66°
  • (iv)
    x
    =
    80°
    ,
    y
    =
    58°
    ,
    z
    =
    64°
  • (v)
    x
    =
    80°
    ,
    y
    =
    56°
    ,
    z
    =
    66°
Question 13
13.
In the given figure, PQ ∥ RS, ∠HEQ = 55° and EF = GE. Find the measure of x.
  • (i)
    x
    =
    69°
  • (ii)
    x
    =
    72°
  • (iii)
    x
    =
    70°
  • (iv)
    x
    =
    68°
  • (v)
    x
    =
    71°
Question 14
14.
Each of the two equal angles of an isosceles triangle is half the third angle. Find the angles of the triangle
  • (i)
    X
    =
    43°
    ,
    Y
    =
    90°
    ,
    Z
    =
    47°
  • (ii)
    X
    =
    47°
    ,
    Y
    =
    90°
    ,
    Z
    =
    43°
  • (iii)
    X
    =
    43°
    ,
    Y
    =
    92°
    ,
    Z
    =
    45°
  • (iv)
    X
    =
    45°
    ,
    Y
    =
    88°
    ,
    Z
    =
    47°
  • (v)
    X
    =
    45°
    ,
    Y
    =
    90°
    ,
    Z
    =
    45°
Question 15
15.
In the given figure l ∥ m. Find the value of 'q'
  • (i)
    62°
  • (ii)
    82°
  • (iii)
    57°
  • (iv)
    67°
  • (v)
    52°
Question 16
16.
    • Every simple closed curve divides a plane into how many sets of points?
  • (i)
    3
  • (ii)
    4
  • (iii)
    0
  • (iv)
    6
  • (v)
    2
Question 17
17.
Which of the following angles form a linear pair?
  • (i)
    (∠BOC,∠COD)
  • (ii)
    (∠AOB,∠BOC)
  • (iii)
    (∠DOE,∠EOA)
  • (iv)
    (∠COD,∠DOE)
Question 18
18.
    • The complementary angle of
    • 75°
    • is
  • (i)
    30°
  • (ii)
    25°
  • (iii)
    15°
  • (iv)
    45°
  • (v)
    20°
Question 19
19.
    • In the given figure,
    • l ∥ m
    • and
    • n ∥ o
    • and
    • p ∥ q
    • .
    • Find the values of
    • {a,b,c,d,e,f}
  • (i)
    95
    °
    ,
    38
    °
    ,
    38
    °
    ,
    47
    °
    ,
    95
    °
    ,
    47
    °
  • (ii)
    38
    °
    ,
    47
    °
    ,
    95
    °
    ,
    47
    °
    ,
    38
    °
    ,
    95
    °
  • (iii)
    47
    °
    ,
    95
    °
    ,
    95
    °
    ,
    38
    °
    ,
    47
    °
    ,
    38
    °
  • (iv)
    47
    °
    ,
    38
    °
    ,
    95
    °
    ,
    47
    °
    ,
    38
    °
    ,
    95
    °
  • (v)
    95
    °
    ,
    38
    °
    ,
    47
    °
    ,
    47
    °
    ,
    38
    °
    ,
    95
    °
Question 20
20.
Find the number of right angles covered by the hour hand of clock when it goes from 5 to 11
  • (i)
    0
  • (ii)
    2
  • (iii)
    4
  • (iv)
    1
  • (v)
    3
Question 21
21.
In the given figure, if JH = JK = KI, find the value of x
  • (i)
    x
    =
    34°
  • (ii)
    x
    =
    31°
  • (iii)
    x
    =
    32°
  • (iv)
    x
    =
    33°
  • (v)
    x
    =
    30°
Question 22
22.
Find the exterior alternate angles in the given figure
  • (i)
    ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
  • (ii)
    ∠3 , ∠4 , ∠5 , ∠6
  • (iii)
    ∠3 , ∠6 ; ∠4 , ∠5
  • (iv)
    ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • (v)
    ∠1 , ∠8 ; ∠2 , ∠7
Question 23
23.
Which of the following is the largest angle in the given figure?
  • (i)
    ∠QOR
  • (ii)
    ∠POS
  • (iii)
    ∠POR
  • (iv)
    ∠QOS
  • (v)
    ∠POQ
Question 24
24.
Find the corresponding angles in the given figure
  • (i)
    ∠1 , ∠2 , ∠7 , ∠8
  • (ii)
    ∠3 , ∠5 ; ∠4 , ∠6
  • (iii)
    ∠3 , ∠6 ; ∠4 , ∠5
  • (iv)
    ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
  • (v)
    ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question 25
25.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    42°
    ,
    y
    =
    38°
    ,
    z
    =
    84°
  • (ii)
    x
    =
    44°
    ,
    y
    =
    40°
    ,
    z
    =
    80°
  • (iii)
    x
    =
    40°
    ,
    y
    =
    42°
    ,
    z
    =
    82°
  • (iv)
    x
    =
    40°
    ,
    y
    =
    40°
    ,
    z
    =
    84°
  • (v)
    x
    =
    42°
    ,
    y
    =
    40°
    ,
    z
    =
    82°
    Assignment Key

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