EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following are adjacent angles in the below figure?
  • (i)
    ∠COD , ∠DOE
  • (ii)
    ∠DOE , ∠FOG
  • (iii)
    ∠GOH , ∠DOE
  • (iv)
    ∠FOG , ∠DOE
  • (v)
    ∠EOC , ∠GOH
Question 2
2.
    • Find the complementary angles pair in the following
  • (i)
    38°,42°
  • (ii)
    88°,72°
  • (iii)
    78°,62°
  • (iv)
    48°,42°
  • (v)
    58°,52°
Question 3
3.
In which of the figures given bellow, l ∦ m(not parallel)?
  • (i)
    III
  • (ii)
    IV
  • (iii)
    I
  • (iv)
    II
Question 4
4.
In the given figure, find the values of x and y
  • (i)
    x
    =
    48.88°
    ,
    y
    =
    50.45°
  • (ii)
    x
    =
    46.88°
    ,
    y
    =
    48.45°
  • (iii)
    x
    =
    45.88°
    ,
    y
    =
    47.45°
  • (iv)
    x
    =
    49.88°
    ,
    y
    =
    51.45°
  • (v)
    x
    =
    47.88°
    ,
    y
    =
    49.45°
Question 5
5.
In the given figure l ∥ m. Find the value of 'y'
  • (i)
    12
  • (ii)
    8
  • (iii)
    10
  • (iv)
    13
  • (v)
    11
Question 6
6.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle.
  • (i)
    E
    =
    60°
    ,
    F
    =
    45°
    ,
    G
    =
    75°
  • (ii)
    E
    =
    62°
    ,
    F
    =
    45°
    ,
    G
    =
    73°
  • (iii)
    E
    =
    58°
    ,
    F
    =
    45°
    ,
    G
    =
    77°
  • (iv)
    E
    =
    60°
    ,
    F
    =
    43°
    ,
    G
    =
    77°
  • (v)
    E
    =
    58°
    ,
    F
    =
    47°
    ,
    G
    =
    75°
Question 7
7.
    • In the figure below, if
    • AB
    • =
    • 9.80 cm
    • and
    • BC
    • =
    • 9.60 cm
    • ,find
    • AC
    • = ?
  • (i)
    17.40 cm
  • (ii)
    20.40 cm
  • (iii)
    19.40 cm
  • (iv)
    21.40 cm
  • (v)
    18.40 cm
Question 8
8.
In the given figure, find the values of x and y.
  • (i)
    x
    =
    41.81°
    ,
    y
    =
    61.92°
  • (ii)
    x
    =
    45.81°
    ,
    y
    =
    65.92°
  • (iii)
    x
    =
    43.81°
    ,
    y
    =
    63.92°
  • (iv)
    x
    =
    44.81°
    ,
    y
    =
    64.92°
  • (v)
    x
    =
    42.81°
    ,
    y
    =
    62.92°
Question 9
9.
In the given figurel ∥ m. Find the value of 'u'
  • (i)
    46°
  • (ii)
    51°
  • (iii)
    61°
  • (iv)
    76°
  • (v)
    56°
Question 10
10.
Which of the following points are collinear?
a)
    • I
    • ,
    • L
    • ,
    • J
b)
    • L
    • ,
    • K
    • ,
    • J
c)
    • K
    • ,
    • L
    • ,
    • I
d)
    • H
    • ,
    • L
    • ,
    • J
e)
    • J
    • ,
    • L
    • ,
    • K
  • (i)
    {a,c}
  • (ii)
    {c,d}
  • (iii)
    {b,d}
  • (iv)
    {b,d,c}
  • (v)
    {e,a,c}
Question 11
11.
    • Find the unknown angles in the following figure
  • (i)
    C
    =
    45°
    ,
    D
    =
    45°
  • (ii)
    C
    =
    44°
    ,
    D
    =
    44°
  • (iii)
    C
    =
    46°
    ,
    D
    =
    46°
  • (iv)
    C
    =
    43°
    ,
    D
    =
    43°
  • (v)
    C
    =
    42°
    ,
    D
    =
    42°
Question 12
12.
Which of the following are adjacent angles in the below figure?
  • (i)
    ∠IOJ , ∠JOK
  • (ii)
    ∠KOL , ∠MOI
  • (iii)
    ∠JOK , ∠LOM
  • (iv)
    ∠LOM , ∠JOK
  • (v)
    ∠MOI , ∠JOK
Question 13
13.
The following angle represents
  • (i)
    acute angle
  • (ii)
    zero angle
  • (iii)
    reflex angle
  • (iv)
    obtuse angle
  • (v)
    straight angle
Question 14
14.
In the given figure, find ∠IJH
  • (i)
    45°
  • (ii)
    42°
  • (iii)
    44°
  • (iv)
    43°
  • (v)
    41°
Question 15
15.
One of the two equal angles of an isosceles triangle measures 44°. Find the measure of each angle of the triangle.
  • (i)
    A
    =
    42°
    ,
    B
    =
    46°
    ,
    C
    =
    92°
  • (ii)
    A
    =
    44°
    ,
    B
    =
    42°
    ,
    C
    =
    94°
  • (iii)
    A
    =
    44°
    ,
    B
    =
    44°
    ,
    C
    =
    92°
  • (iv)
    A
    =
    42°
    ,
    B
    =
    44°
    ,
    C
    =
    94°
  • (v)
    A
    =
    46°
    ,
    B
    =
    44°
    ,
    C
    =
    90°
Question 16
16.
The following angle represents
  • (i)
    complete angle
  • (ii)
    right angle
  • (iii)
    straight angle
  • (iv)
    reflex angle
  • (v)
    zero angle
Question 17
17.
Two angles of a triangle measure 52° and 55° respectively. Find the measure of the third angle of the triangle
  • (i)
    74°
  • (ii)
    72°
  • (iii)
    75°
  • (iv)
    71°
  • (v)
    73°
Question 18
18.
Which of the following are true?
a)
A straight line meets another straight line at atmost one point
b)
If a line cuts another line at more than one point, then one of the line is curved
c)
If two lines have no common point, then the lines are parallel
d)
If two lines have infinite common points, then the two lines are concurrent
e)
Only one straight line can be drawn between any two points
  • (i)
    {d,a}
  • (ii)
    {d,c}
  • (iii)
    {d,e,a}
  • (iv)
    {a,b,c,e}
  • (v)
    {d,b}
Question 19
19.
In the given figure, find ∠EIH
  • (i)
    142°
  • (ii)
    143°
  • (iii)
    140°
  • (iv)
    141°
  • (v)
    139°
Question 20
20.
Identify the figure below
  • (i)
    decagon
  • (ii)
    quadrilateral
  • (iii)
    hexagon
  • (iv)
    angle
  • (v)
    nonagon
Question 21
21.
    • Which of the following figures represent an angle?
  • (i)
    fig 1
  • (ii)
    fig 4
  • (iii)
    fig 5
  • (iv)
    fig 3
  • (v)
    fig 2
Question 22
22.
The following angle represents
  • (i)
    zero angle
  • (ii)
    right angle
  • (iii)
    obtuse angle
  • (iv)
    reflex angle
  • (v)
    straight angle
Question 23
23.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    62.17°
  • (ii)
    x
    =
    60.17°
  • (iii)
    x
    =
    59.17°
  • (iv)
    x
    =
    58.17°
  • (v)
    x
    =
    61.17°
Question 24
24.
Find the interior alternate angles in the given figure
  • (i)
    ∠3 , ∠6 ; ∠4 , ∠5
  • (ii)
    ∠3 , ∠4 , ∠5 , ∠6
  • (iii)
    ∠3 , ∠5 ; ∠4 , ∠6
  • (iv)
    ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • (v)
    ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question 25
25.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle
  • (i)
    J
    =
    36°
    ,
    K
    =
    54°
    ,
    L
    =
    90°
  • (ii)
    J
    =
    36°
    ,
    K
    =
    52°
    ,
    L
    =
    92°
  • (iii)
    J
    =
    38°
    ,
    K
    =
    54°
    ,
    L
    =
    88°
  • (iv)
    J
    =
    34°
    ,
    K
    =
    56°
    ,
    L
    =
    90°
  • (v)
    J
    =
    34°
    ,
    K
    =
    54°
    ,
    L
    =
    92°
    Assignment Key

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