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
    =
    54.12°
  • (ii)
    x
    =
    55.12°
  • (iii)
    x
    =
    56.12°
  • (iv)
    x
    =
    53.12°
  • (v)
    x
    =
    52.12°
Question 2
2.
Find the unknown marked angle in the following figure
  • (i)
    x
    =
    58.28°
  • (ii)
    x
    =
    59.28°
  • (iii)
    x
    =
    57.28°
  • (iv)
    x
    =
    56.28°
  • (v)
    x
    =
    55.28°
Question 3
3.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle
  • (i)
    G
    =
    60°
    ,
    H
    =
    45°
    ,
    I
    =
    75°
  • (ii)
    G
    =
    58°
    ,
    H
    =
    45°
    ,
    I
    =
    77°
  • (iii)
    G
    =
    60°
    ,
    H
    =
    43°
    ,
    I
    =
    77°
  • (iv)
    G
    =
    62°
    ,
    H
    =
    45°
    ,
    I
    =
    73°
  • (v)
    G
    =
    58°
    ,
    H
    =
    47°
    ,
    I
    =
    75°
Question 4
4.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle.
  • (i)
    B
    =
    55°
    ,
    C
    =
    30°
    ,
    D
    =
    95°
  • (ii)
    B
    =
    53°
    ,
    C
    =
    30°
    ,
    D
    =
    97°
  • (iii)
    B
    =
    57°
    ,
    C
    =
    30°
    ,
    D
    =
    93°
  • (iv)
    B
    =
    55°
    ,
    C
    =
    28°
    ,
    D
    =
    97°
  • (v)
    B
    =
    53°
    ,
    C
    =
    32°
    ,
    D
    =
    95°
Question 5
5.
In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.
  • (i)
    x
    =
    18°
    ,
    y
    =
    50°
    ,
    z
    =
    112°
  • (ii)
    x
    =
    22°
    ,
    y
    =
    50°
    ,
    z
    =
    108°
  • (iii)
    x
    =
    20°
    ,
    y
    =
    50°
    ,
    z
    =
    110°
  • (iv)
    x
    =
    20°
    ,
    y
    =
    48°
    ,
    z
    =
    112°
  • (v)
    x
    =
    18°
    ,
    y
    =
    52°
    ,
    z
    =
    110°
Question 6
6.
In the following figure, one side of a triangle has been produced. Find the values of x and y.
  • (i)
    x
    =
    52°
    ,
    y
    =
    79°
  • (ii)
    x
    =
    53°
    ,
    y
    =
    80°
  • (iii)
    x
    =
    56°
    ,
    y
    =
    83°
  • (iv)
    x
    =
    54°
    ,
    y
    =
    81°
  • (v)
    x
    =
    55°
    ,
    y
    =
    82°
Question 7
7.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    44.34°
  • (ii)
    x
    =
    47.34°
  • (iii)
    x
    =
    46.34°
  • (iv)
    x
    =
    43.34°
  • (v)
    x
    =
    45.34°
Question 8
8.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    33.89°
  • (ii)
    x
    =
    36.89°
  • (iii)
    x
    =
    35.89°
  • (iv)
    x
    =
    37.89°
  • (v)
    x
    =
    34.89°
Question 9
9.
Find the unknown angle in the following figure
  • (i)
    x
    =
    137°
  • (ii)
    x
    =
    136°
  • (iii)
    x
    =
    135°
  • (iv)
    x
    =
    134°
  • (v)
    x
    =
    133°
Question 10
10.
In the given figure, find ∠CDB
  • (i)
    66°
  • (ii)
    67°
  • (iii)
    64°
  • (iv)
    65°
  • (v)
    63°
Question 11
11.
In the given figure, find ∠MKL
  • (i)
    101°
  • (ii)
    103°
  • (iii)
    105°
  • (iv)
    102°
  • (v)
    104°
Question 12
12.
In the given figure, find ∠MNL
  • (i)
    30°
  • (ii)
    28°
  • (iii)
    32°
  • (iv)
    29°
  • (v)
    31°
Question 13
13.
In the given figure, find ∠FJI
  • (i)
    132°
  • (ii)
    129°
  • (iii)
    131°
  • (iv)
    128°
  • (v)
    130°
Question 14
14.
In below given figure, find ∠FIH
  • (i)
    120.90°
  • (ii)
    121.90°
  • (iii)
    117.90°
  • (iv)
    119.90°
  • (v)
    118.90°
Question 15
15.
In below given figure, find ∠MJK
  • (i)
    75.89°
  • (ii)
    77.89°
  • (iii)
    74.89°
  • (iv)
    73.89°
  • (v)
    76.89°
Question 16
16.
In below given figure, find ∠MKO
  • (i)
    99.16°
  • (ii)
    96.16°
  • (iii)
    98.16°
  • (iv)
    97.16°
  • (v)
    95.16°
Question 17
17.
In the given figure, find the values of x and y.
  • (i)
    x
    =
    40°
    ,
    y
    =
    64.7°
  • (ii)
    x
    =
    42°
    ,
    y
    =
    66.7°
  • (iii)
    x
    =
    39°
    ,
    y
    =
    63.7°
  • (iv)
    x
    =
    43°
    ,
    y
    =
    67.7°
  • (v)
    x
    =
    41°
    ,
    y
    =
    65.7°
Question 18
18.
In the given figure, QR ∥ ST, ∠GDR = 64° and DE = FD. Find the measure of x.
  • (i)
    x
    =
    52°
  • (ii)
    x
    =
    54°
  • (iii)
    x
    =
    53°
  • (iv)
    x
    =
    51°
  • (v)
    x
    =
    50°
Question 19
19.
In the given figure, find the value of x.
  • (i)
    x
    =
    123°
  • (ii)
    x
    =
    127°
  • (iii)
    x
    =
    124°
  • (iv)
    x
    =
    126°
  • (v)
    x
    =
    125°
Question 20
20.
In the given figure, if DB = BE = CE. Find the value of x.
  • (i)
    x
    =
    91.5°
  • (ii)
    x
    =
    90.5°
  • (iii)
    x
    =
    89.5°
  • (iv)
    x
    =
    93.5°
  • (v)
    x
    =
    92.5°
Question 21
21.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    111°
    ,
    y
    =
    40°
  • (ii)
    x
    =
    110°
    ,
    y
    =
    39°
  • (iii)
    x
    =
    107°
    ,
    y
    =
    36°
  • (iv)
    x
    =
    108°
    ,
    y
    =
    37°
  • (v)
    x
    =
    109°
    ,
    y
    =
    38°
Question 22
22.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    111°
    ,
    y
    =
    111°
  • (ii)
    x
    =
    108°
    ,
    y
    =
    108°
  • (iii)
    x
    =
    109°
    ,
    y
    =
    109°
  • (iv)
    x
    =
    110°
    ,
    y
    =
    110°
  • (v)
    x
    =
    107°
    ,
    y
    =
    107°
Question 23
23.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    143°
  • (ii)
    x
    =
    145°
  • (iii)
    x
    =
    144°
  • (iv)
    x
    =
    142°
  • (v)
    x
    =
    146°
Question 24
24.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    22.5°
  • (ii)
    x
    =
    21.5°
  • (iii)
    x
    =
    23.5°
  • (iv)
    x
    =
    20.5°
  • (v)
    x
    =
    24.5°
Question 25
25.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    114°
    ,
    y
    =
    147°
  • (ii)
    x
    =
    113°
    ,
    y
    =
    146°
  • (iii)
    x
    =
    116°
    ,
    y
    =
    149°
  • (iv)
    x
    =
    115°
    ,
    y
    =
    148°
  • (v)
    x
    =
    112°
    ,
    y
    =
    145°
Question 26
26.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    94°
    ,
    y
    =
    119°
  • (ii)
    x
    =
    92°
    ,
    y
    =
    117°
  • (iii)
    x
    =
    95°
    ,
    y
    =
    120°
  • (iv)
    x
    =
    93°
    ,
    y
    =
    118°
  • (v)
    x
    =
    96°
    ,
    y
    =
    121°
Question 27
27.
In the given figure, it is given that ED ∥ GF , ∠EGF = 62° and ∠EDC = 92°. Find the value of x.
  • (i)
    x
    =
    26°
  • (ii)
    x
    =
    28°
  • (iii)
    x
    =
    25°
  • (iv)
    x
    =
    27°
  • (v)
    x
    =
    24°
Question 28
28.
In the given figure, △BCD in which side CD has been produced to E. If ∠DBC = x° , ∠BCD = (2/3a)° , ∠CDB = (2/3a)° and ∠BDE = (7/3a)°, find the values of a and x.
  • (i)
    a
    =
    58°
    ,
    x
    =
    98°
  • (ii)
    a
    =
    60°
    ,
    x
    =
    100°
  • (iii)
    a
    =
    59°
    ,
    x
    =
    99°
  • (iv)
    a
    =
    62°
    ,
    x
    =
    102°
  • (v)
    a
    =
    61°
    ,
    x
    =
    101°
Question 29
29.
    • In the given figure, ∠H = 55.58° and ∠I = 65.63°.
    • 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
    =
    31.39°
    ,
    y
    =
    62.61°
  • (ii)
    x
    =
    30.39°
    ,
    y
    =
    61.61°
  • (iii)
    x
    =
    27.39°
    ,
    y
    =
    58.61°
  • (iv)
    x
    =
    29.39°
    ,
    y
    =
    60.61°
  • (v)
    x
    =
    28.39°
    ,
    y
    =
    59.61°
Question 30
30.
In the given figure, find the values of x and y
  • (i)
    x
    =
    56.99°
    ,
    y
    =
    49.05°
  • (ii)
    x
    =
    58.99°
    ,
    y
    =
    51.05°
  • (iii)
    x
    =
    55.99°
    ,
    y
    =
    48.05°
  • (iv)
    x
    =
    59.99°
    ,
    y
    =
    52.05°
  • (v)
    x
    =
    57.99°
    ,
    y
    =
    50.05°
Question 31
31.
In the given figure, FG ∥ HI and FH = HJ. Find the values of x,y and z.
  • (i)
    x
    =
    33°
    ,
    y
    =
    69°
    ,
    z
    =
    40°
  • (ii)
    x
    =
    31°
    ,
    y
    =
    69°
    ,
    z
    =
    42°
  • (iii)
    x
    =
    29°
    ,
    y
    =
    71°
    ,
    z
    =
    42°
  • (iv)
    x
    =
    29°
    ,
    y
    =
    69°
    ,
    z
    =
    44°
  • (v)
    x
    =
    31°
    ,
    y
    =
    67°
    ,
    z
    =
    44°
Question 32
32.
In the given figure, if FC = DF and CG = GE , find the value of x.
  • (i)
    x
    =
    66°
  • (ii)
    x
    =
    70°
  • (iii)
    x
    =
    69°
  • (iv)
    x
    =
    68°
  • (v)
    x
    =
    67°
Question 33
33.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    45°
    ,
    y
    =
    41°
    ,
    z
    =
    86°
  • (ii)
    x
    =
    45°
    ,
    y
    =
    39°
    ,
    z
    =
    88°
  • (iii)
    x
    =
    47°
    ,
    y
    =
    39°
    ,
    z
    =
    86°
  • (iv)
    x
    =
    47°
    ,
    y
    =
    37°
    ,
    z
    =
    88°
  • (v)
    x
    =
    49°
    ,
    y
    =
    39°
    ,
    z
    =
    84°
    Assignment Key
  •  1) (i)
  •  2) (iii)
  •  3) (i)
  •  4) (i)
  •  5) (iii)
  •  6) (iv)
  •  7) (v)
  •  8) (iii)
  •  9) (iii)
  •  10) (iv)
  •  11) (ii)
  •  12) (i)
  •  13) (v)
  •  14) (iv)
  •  15) (i)
  •  16) (iv)
  •  17) (v)
  •  18) (i)
  •  19) (v)
  •  20) (i)
  •  21) (v)
  •  22) (iii)
  •  23) (iii)
  •  24) (i)
  •  25) (i)
  •  26) (i)
  •  27) (i)
  •  28) (ii)
  •  29) (iv)
  •  30) (v)
  •  31) (ii)
  •  32) (iv)
  •  33) (iii)