EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following angles form a linear pair?
  • (i)
    (∠COD,∠DOE)
  • (ii)
    (∠AOB,∠BOC)
  • (iii)
    (∠EOF,∠FOA)
  • (iv)
    (∠BOC,∠COD)
  • (v)
    (∠DOE,∠EOF)
Question 2
2.
The following angle represents
  • (i)
    obtuse angle
  • (ii)
    zero angle
  • (iii)
    right angle
  • (iv)
    straight angle
  • (v)
    complete angle
Question 3
3.
In the given figure, t , u , v , w , x , y  are lines in a plane. By looking at the figure, which of the following are true?
a)
    • w
    • is the transversal of
    • t
    • &
    • u
b)
    • t
    • u
c)
    • t
    • w
d)
    • x
    • is the transversal of
    • v
    • &
    • w
e)
    • y
    • is the transversal of
    • v
    • &
    • t
f)
    • t
    • is the transversal of
    • v
    • &
    • x
  • (i)
    {f,b}
  • (ii)
    {c,a}
  • (iii)
    {a,b,d,e}
  • (iv)
    {c,e,a}
  • (v)
    {c,f,d}
Question 4
4.
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
  • (i)
    62°
  • (ii)
    59°
  • (iii)
    60°
  • (iv)
    58°
  • (v)
    61°
Question 5
5.
Identify the figure below
  • (i)
    hexagon
  • (ii)
    quadrilateral
  • (iii)
    angle
  • (iv)
    nonagon
  • (v)
    octagon
Question 6
6.
Find the adjacent angles in the given figure
  • (i)
    ∠3 , ∠6 ; ∠4 , ∠5
  • (ii)
    ∠1 , ∠2 , ∠7 , ∠8
  • (iii)
    ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
  • (iv)
    ∠3 , ∠5 ; ∠4 , ∠6
  • (v)
    ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
Question 7
7.
The following angle represents
  • (i)
    obtuse angle
  • (ii)
    right angle
  • (iii)
    acute angle
  • (iv)
    reflex angle
  • (v)
    zero angle
Question 8
8.
Find the vertically opposite angles in the given figure
  • (i)
    ∠3 , ∠5 ; ∠4 , ∠6
  • (ii)
    ∠1 , ∠8 ; ∠2 , ∠7
  • (iii)
    ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
  • (iv)
    ∠3 , ∠4 , ∠5 , ∠6
  • (v)
    ∠3 , ∠6 ; ∠4 , ∠5
Question 9
9.
The following angle represents
  • (i)
    reflex angle
  • (ii)
    complete angle
  • (iii)
    right angle
  • (iv)
    obtuse angle
  • (v)
    acute angle
Question 10
10.
    • The representation
    • BC
    • indicates
  • (i)
    angle
  • (ii)
    arc
  • (iii)
    line segment
  • (iv)
    line
  • (v)
    ray
Question 11
11.
In which of the figures given bellow, l ∥ m?
  • (i)
    IV
  • (ii)
    I
  • (iii)
    III
  • (iv)
    II
Question 12
12.
Find the interior angles in the given figure
  • (i)
    ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
  • (ii)
    ∠1 , ∠8 ; ∠2 , ∠7
  • (iii)
    ∠3 , ∠4 , ∠5 , ∠6
  • (iv)
    ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • (v)
    ∠1 , ∠2 , ∠7 , ∠8
Question 13
13.
One of the two equal angles of an isosceles triangle measures 38°. Find the measure of each angle of the triangle.
  • (i)
    A
    =
    36°
    ,
    B
    =
    40°
    ,
    C
    =
    104°
  • (ii)
    A
    =
    36°
    ,
    B
    =
    38°
    ,
    C
    =
    106°
  • (iii)
    A
    =
    38°
    ,
    B
    =
    36°
    ,
    C
    =
    106°
  • (iv)
    A
    =
    38°
    ,
    B
    =
    38°
    ,
    C
    =
    104°
  • (v)
    A
    =
    40°
    ,
    B
    =
    38°
    ,
    C
    =
    102°
Question 14
14.
Find the number of right angles covered by the hour hand of clock when it goes from 7 to 11
  • (i)
    2
  • (ii)
    4
  • (iii)
    3
  • (iv)
    1
  • (v)
    0
Question 15
15.
Find the value of 'p' in the following figure
  • (i)
    42°
  • (ii)
    67°
  • (iii)
    52°
  • (iv)
    47°
  • (v)
    37°
Question 16
16.
Which of the given figures is correct?
  • (i)
    IV
  • (ii)
    I
  • (iii)
    III
  • (iv)
    II
Question 17
17.
Where will the hour hand of a clock stop, if it starts from 4 and turns through 2 right angles?
  • (i)
    10
  • (ii)
    9
  • (iii)
    11
  • (iv)
    8
  • (v)
    12
Question 18
18.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    111°
    ,
    y
    =
    149°
  • (ii)
    x
    =
    113°
    ,
    y
    =
    151°
  • (iii)
    x
    =
    115°
    ,
    y
    =
    153°
  • (iv)
    x
    =
    112°
    ,
    y
    =
    150°
  • (v)
    x
    =
    114°
    ,
    y
    =
    152°
Question 19
19.
What fraction of clockwise revolution does the hour hand of a clock covers, when it goes from 8 to 3?
  • (i)
    5

    12
  • (ii)
    7

    10
  • (iii)
    3

    4
  • (iv)
    1

    2
  • (v)
    7

    12
Question 20
20.
The following angle represents
  • (i)
    straight angle
  • (ii)
    reflex angle
  • (iii)
    acute angle
  • (iv)
    complete angle
  • (v)
    zero angle
Question 21
21.
Which of the following is an obtuse angle?
  • (i)
    68°
  • (ii)
    116°
  • (iii)
    90°
  • (iv)
    180°
  • (v)
    277°
Question 22
22.
Find the value of k in the figure below
  • (i)
    13
  • (ii)
    14
  • (iii)
    10
  • (iv)
    11
  • (v)
    12
Question 23
23.
Which of the following are true with respect to lines  o , p , q , r  where  o ∥ p , p ⟂ q , q ⟂ r?
a)
    • o
    • r
b)
    • p
    • r
c)
    • o
    • r
d)
    • q
    • r
e)
    • o
    • q
  • (i)
    {b,c}
  • (ii)
    {a,b}
  • (iii)
    {d,c}
  • (iv)
    {d,c,b}
  • (v)
    {e,a,b}
Question 24
24.
In the given figure, if DG = HD, find the values of x , y , z and t
  • (i)
    x =59.58°, y =26.32°, z =25.05° , t =119.79°
  • (ii)
    x =59.58°, y =26.32°, z =24.05° , t =118.79°
  • (iii)
    x =59.58°, y =28.32°, z =27.05° , t =119.79°
  • (iv)
    x =59.58°, y =24.32°, z =23.05° , t =119.79°
  • (v)
    x =59.58°, y =26.32°, z =26.05° , t =120.79°
Question 25
25.
State the angle between the two hands of the clock when the time is 8 A.M.
  • (i)
    135°
  • (ii)
    125°
  • (iii)
    130°
  • (iv)
    150°
  • (v)
    120°
    Assignment Key

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