EduSahara™ Assignment
Name : Triangle Exterior Angle Properties using Diagrams
Chapter : Triangles and Its Properties
Grade : SSC Grade VII
License : Non Commercial Use
Question 1
1.
Calculate the value of x in the following figure
  • (i)
    x
    =
    63.75°
  • (ii)
    x
    =
    61.75°
  • (iii)
    x
    =
    62.75°
  • (iv)
    x
    =
    60.75°
  • (v)
    x
    =
    59.75°
Question 2
2.
Find the unknown marked angle in the following figure
  • (i)
    x
    =
    65.29°
  • (ii)
    x
    =
    67.29°
  • (iii)
    x
    =
    66.29°
  • (iv)
    x
    =
    63.29°
  • (v)
    x
    =
    64.29°
Question 3
3.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle
  • (i)
    J
    =
    60°
    ,
    K
    =
    43°
    ,
    L
    =
    77°
  • (ii)
    J
    =
    62°
    ,
    K
    =
    45°
    ,
    L
    =
    73°
  • (iii)
    J
    =
    58°
    ,
    K
    =
    45°
    ,
    L
    =
    77°
  • (iv)
    J
    =
    60°
    ,
    K
    =
    45°
    ,
    L
    =
    75°
  • (v)
    J
    =
    58°
    ,
    K
    =
    47°
    ,
    L
    =
    75°
Question 4
4.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle.
  • (i)
    I
    =
    43°
    ,
    J
    =
    38°
    ,
    K
    =
    99°
  • (ii)
    I
    =
    43°
    ,
    J
    =
    36°
    ,
    K
    =
    101°
  • (iii)
    I
    =
    45°
    ,
    J
    =
    34°
    ,
    K
    =
    101°
  • (iv)
    I
    =
    47°
    ,
    J
    =
    36°
    ,
    K
    =
    97°
  • (v)
    I
    =
    45°
    ,
    J
    =
    36°
    ,
    K
    =
    99°
Question 5
5.
In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.
  • (i)
    x
    =
    36°
    ,
    y
    =
    43°
    ,
    z
    =
    101°
  • (ii)
    x
    =
    34°
    ,
    y
    =
    45°
    ,
    z
    =
    101°
  • (iii)
    x
    =
    34°
    ,
    y
    =
    47°
    ,
    z
    =
    99°
  • (iv)
    x
    =
    38°
    ,
    y
    =
    45°
    ,
    z
    =
    97°
  • (v)
    x
    =
    36°
    ,
    y
    =
    45°
    ,
    z
    =
    99°
Question 6
6.
In the following figure, one side of a triangle has been produced. Find the values of x and y.
  • (i)
    x
    =
    23°
    ,
    y
    =
    118°
  • (ii)
    x
    =
    26°
    ,
    y
    =
    121°
  • (iii)
    x
    =
    24°
    ,
    y
    =
    119°
  • (iv)
    x
    =
    27°
    ,
    y
    =
    122°
  • (v)
    x
    =
    25°
    ,
    y
    =
    120°
Question 7
7.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    61.17°
  • (ii)
    x
    =
    59.17°
  • (iii)
    x
    =
    60.17°
  • (iv)
    x
    =
    62.17°
  • (v)
    x
    =
    58.17°
Question 8
8.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    63.31°
  • (ii)
    x
    =
    66.31°
  • (iii)
    x
    =
    67.31°
  • (iv)
    x
    =
    64.31°
  • (v)
    x
    =
    65.31°
Question 9
9.
Find the unknown angle in the following figure
  • (i)
    x
    =
    134°
  • (ii)
    x
    =
    136°
  • (iii)
    x
    =
    137°
  • (iv)
    x
    =
    135°
  • (v)
    x
    =
    133°
Question 10
10.
In the given figure, find ∠CDB
  • (i)
    71°
  • (ii)
    72°
  • (iii)
    73°
  • (iv)
    74°
  • (v)
    75°
Question 11
11.
In the given figure, find ∠LJK
  • (i)
    127°
  • (ii)
    126°
  • (iii)
    124°
  • (iv)
    123°
  • (v)
    125°
Question 12
12.
In the given figure, find ∠NOM
  • (i)
    26°
  • (ii)
    23°
  • (iii)
    27°
  • (iv)
    25°
  • (v)
    24°
Question 13
13.
In the given figure, find ∠CGF
  • (i)
    135°
  • (ii)
    132°
  • (iii)
    136°
  • (iv)
    133°
  • (v)
    134°
Question 14
14.
In below given figure, find ∠CFE
  • (i)
    112.19°
  • (ii)
    113.19°
  • (iii)
    116.19°
  • (iv)
    115.19°
  • (v)
    114.19°
Question 15
15.
In below given figure, find ∠DAB
  • (i)
    100.24°
  • (ii)
    98.24°
  • (iii)
    97.24°
  • (iv)
    101.24°
  • (v)
    99.24°
Question 16
16.
In below given figure, find ∠KIM
  • (i)
    93.31°
  • (ii)
    96.31°
  • (iii)
    95.31°
  • (iv)
    92.31°
  • (v)
    94.31°
Question 17
17.
In the given figure, find the values of x and y.
  • (i)
    x
    =
    112.74°
    ,
    y
    =
    69.26°
  • (ii)
    x
    =
    110.74°
    ,
    y
    =
    67.26°
  • (iii)
    x
    =
    111.74°
    ,
    y
    =
    68.26°
  • (iv)
    x
    =
    113.74°
    ,
    y
    =
    70.26°
  • (v)
    x
    =
    109.74°
    ,
    y
    =
    66.26°
Question 18
18.
In the given figure, PQ ∥ RS, ∠HEQ = 60° and EF = GE. Find the measure of x.
  • (i)
    x
    =
    60°
  • (ii)
    x
    =
    59°
  • (iii)
    x
    =
    58°
  • (iv)
    x
    =
    62°
  • (v)
    x
    =
    61°
Question 19
19.
In the given figure, find the value of x.
  • (i)
    x
    =
    28.5°
  • (ii)
    x
    =
    25.5°
  • (iii)
    x
    =
    27.5°
  • (iv)
    x
    =
    24.5°
  • (v)
    x
    =
    26.5°
Question 20
20.
In the given figure, if DB = BE = CE. Find the value of x.
  • (i)
    x
    =
    86.5°
  • (ii)
    x
    =
    90.5°
  • (iii)
    x
    =
    89.5°
  • (iv)
    x
    =
    87.5°
  • (v)
    x
    =
    88.5°
Question 21
21.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    110°
    ,
    y
    =
    42°
  • (ii)
    x
    =
    114°
    ,
    y
    =
    46°
  • (iii)
    x
    =
    111°
    ,
    y
    =
    43°
  • (iv)
    x
    =
    112°
    ,
    y
    =
    44°
  • (v)
    x
    =
    113°
    ,
    y
    =
    45°
Question 22
22.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    114°
    ,
    y
    =
    114°
  • (ii)
    x
    =
    115°
    ,
    y
    =
    115°
  • (iii)
    x
    =
    112°
    ,
    y
    =
    112°
  • (iv)
    x
    =
    113°
    ,
    y
    =
    113°
  • (v)
    x
    =
    116°
    ,
    y
    =
    116°
Question 23
23.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    140°
  • (ii)
    x
    =
    142°
  • (iii)
    x
    =
    144°
  • (iv)
    x
    =
    141°
  • (v)
    x
    =
    143°
Question 24
24.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    21.5°
  • (ii)
    x
    =
    24.5°
  • (iii)
    x
    =
    22.5°
  • (iv)
    x
    =
    20.5°
  • (v)
    x
    =
    23.5°
Question 25
25.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    110°
    ,
    y
    =
    153°
  • (ii)
    x
    =
    111°
    ,
    y
    =
    154°
  • (iii)
    x
    =
    109°
    ,
    y
    =
    152°
  • (iv)
    x
    =
    108°
    ,
    y
    =
    151°
  • (v)
    x
    =
    107°
    ,
    y
    =
    150°
Question 26
26.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    91°
    ,
    y
    =
    117°
  • (ii)
    x
    =
    88°
    ,
    y
    =
    114°
  • (iii)
    x
    =
    92°
    ,
    y
    =
    118°
  • (iv)
    x
    =
    89°
    ,
    y
    =
    115°
  • (v)
    x
    =
    90°
    ,
    y
    =
    116°
Question 27
27.
In the given figure, it is given that FE ∥ HG , ∠FHG = 72° and ∠FED = 81°. Find the value of x.
  • (i)
    x
    =
    27°
  • (ii)
    x
    =
    26°
  • (iii)
    x
    =
    29°
  • (iv)
    x
    =
    25°
  • (v)
    x
    =
    28°
Question 28
28.
In the given figure, △EFG in which side FG has been produced to H. If ∠GEF = x° , ∠EFG = (3a)° , ∠FGE = (5a)° and ∠EGH = (13a)°, find the values of a and x.
  • (i)
    a
    =
    8°
    ,
    x
    =
    98°
  • (ii)
    a
    =
    12°
    ,
    x
    =
    102°
  • (iii)
    a
    =
    10°
    ,
    x
    =
    100°
  • (iv)
    a
    =
    9°
    ,
    x
    =
    99°
  • (v)
    a
    =
    11°
    ,
    x
    =
    101°
Question 29
29.
    • In the given figure, ∠H = 68.5° and ∠I = 57.53°.
    • Side IJ is produced to K, so that ∠IJH  and ∠HJK form a linear pair.
    • If
    • ⟶
      JL
    • and
    • ⟶
      JM
    • are the bisectors of
    • ∠IJH
    • and
    • ∠HJK
    • , find x and y.
  • (i)
    x
    =
    27.98°
    ,
    y
    =
    64.02°
  • (ii)
    x
    =
    26.98°
    ,
    y
    =
    63.02°
  • (iii)
    x
    =
    25.98°
    ,
    y
    =
    62.02°
  • (iv)
    x
    =
    24.98°
    ,
    y
    =
    61.02°
  • (v)
    x
    =
    28.98°
    ,
    y
    =
    65.02°
Question 30
30.
In the given figure, find the values of x and y
  • (i)
    x
    =
    62.06°
    ,
    y
    =
    50.4°
  • (ii)
    x
    =
    63.06°
    ,
    y
    =
    51.4°
  • (iii)
    x
    =
    64.06°
    ,
    y
    =
    52.4°
  • (iv)
    x
    =
    60.06°
    ,
    y
    =
    48.4°
  • (v)
    x
    =
    61.06°
    ,
    y
    =
    49.4°
Question 31
31.
In the given figure, EF ∥ GH and EG = GI. Find the values of x,y and z.
  • (i)
    x
    =
    32°
    ,
    y
    =
    70°
    ,
    z
    =
    40°
  • (ii)
    x
    =
    30°
    ,
    y
    =
    72°
    ,
    z
    =
    40°
  • (iii)
    x
    =
    34°
    ,
    y
    =
    70°
    ,
    z
    =
    38°
  • (iv)
    x
    =
    30°
    ,
    y
    =
    70°
    ,
    z
    =
    42°
  • (v)
    x
    =
    32°
    ,
    y
    =
    68°
    ,
    z
    =
    42°
Question 32
32.
In the given figure, if NK = LN and KO = OM , find the value of x.
  • (i)
    x
    =
    57.64°
  • (ii)
    x
    =
    58.64°
  • (iii)
    x
    =
    59.64°
  • (iv)
    x
    =
    56.64°
  • (v)
    x
    =
    55.64°
Question 33
33.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    57°
    ,
    y
    =
    39°
    ,
    z
    =
    96°
  • (ii)
    x
    =
    55°
    ,
    y
    =
    41°
    ,
    z
    =
    96°
  • (iii)
    x
    =
    55°
    ,
    y
    =
    39°
    ,
    z
    =
    98°
  • (iv)
    x
    =
    57°
    ,
    y
    =
    37°
    ,
    z
    =
    98°
  • (v)
    x
    =
    59°
    ,
    y
    =
    39°
    ,
    z
    =
    94°
    Assignment Key
  •  1) (ii)
  •  2) (i)
  •  3) (iv)
  •  4) (v)
  •  5) (v)
  •  6) (v)
  •  7) (iii)
  •  8) (v)
  •  9) (iv)
  •  10) (iii)
  •  11) (v)
  •  12) (iv)
  •  13) (v)
  •  14) (v)
  •  15) (v)
  •  16) (v)
  •  17) (iii)
  •  18) (i)
  •  19) (v)
  •  20) (v)
  •  21) (iv)
  •  22) (i)
  •  23) (ii)
  •  24) (iii)
  •  25) (iii)
  •  26) (v)
  •  27) (i)
  •  28) (iii)
  •  29) (ii)
  •  30) (i)
  •  31) (i)
  •  32) (i)
  •  33) (i)