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
    =
    80.57°
  • (ii)
    x
    =
    76.57°
  • (iii)
    x
    =
    78.57°
  • (iv)
    x
    =
    77.57°
  • (v)
    x
    =
    79.57°
Question 2
2.
Find the unknown marked angle in the following figure
  • (i)
    x
    =
    44.08°
  • (ii)
    x
    =
    42.08°
  • (iii)
    x
    =
    43.08°
  • (iv)
    x
    =
    41.08°
  • (v)
    x
    =
    45.08°
Question 3
3.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle
  • (i)
    F
    =
    58°
    ,
    G
    =
    47°
    ,
    H
    =
    75°
  • (ii)
    F
    =
    60°
    ,
    G
    =
    45°
    ,
    H
    =
    75°
  • (iii)
    F
    =
    62°
    ,
    G
    =
    45°
    ,
    H
    =
    73°
  • (iv)
    F
    =
    58°
    ,
    G
    =
    45°
    ,
    H
    =
    77°
  • (v)
    F
    =
    60°
    ,
    G
    =
    43°
    ,
    H
    =
    77°
Question 4
4.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle.
  • (i)
    F
    =
    45°
    ,
    G
    =
    34°
    ,
    H
    =
    101°
  • (ii)
    F
    =
    43°
    ,
    G
    =
    38°
    ,
    H
    =
    99°
  • (iii)
    F
    =
    43°
    ,
    G
    =
    36°
    ,
    H
    =
    101°
  • (iv)
    F
    =
    47°
    ,
    G
    =
    36°
    ,
    H
    =
    97°
  • (v)
    F
    =
    45°
    ,
    G
    =
    36°
    ,
    H
    =
    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
    =
    52°
    ,
    y
    =
    36°
    ,
    z
    =
    92°
  • (ii)
    x
    =
    54°
    ,
    y
    =
    36°
    ,
    z
    =
    90°
  • (iii)
    x
    =
    54°
    ,
    y
    =
    34°
    ,
    z
    =
    92°
  • (iv)
    x
    =
    52°
    ,
    y
    =
    38°
    ,
    z
    =
    90°
  • (v)
    x
    =
    56°
    ,
    y
    =
    36°
    ,
    z
    =
    88°
Question 6
6.
In the following figure, one side of a triangle has been produced. Find the values of x and y.
  • (i)
    x
    =
    60°
    ,
    y
    =
    75°
  • (ii)
    x
    =
    61°
    ,
    y
    =
    76°
  • (iii)
    x
    =
    62°
    ,
    y
    =
    77°
  • (iv)
    x
    =
    59°
    ,
    y
    =
    74°
  • (v)
    x
    =
    58°
    ,
    y
    =
    73°
Question 7
7.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    50.42°
  • (ii)
    x
    =
    48.42°
  • (iii)
    x
    =
    49.42°
  • (iv)
    x
    =
    51.42°
  • (v)
    x
    =
    52.42°
Question 8
8.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    47°
  • (ii)
    x
    =
    45°
  • (iii)
    x
    =
    44°
  • (iv)
    x
    =
    46°
  • (v)
    x
    =
    43°
Question 9
9.
Find the unknown angle in the following figure
  • (i)
    x
    =
    135°
  • (ii)
    x
    =
    137°
  • (iii)
    x
    =
    134°
  • (iv)
    x
    =
    133°
  • (v)
    x
    =
    136°
Question 10
10.
In the given figure, find ∠FGE
  • (i)
    51°
  • (ii)
    52°
  • (iii)
    50°
  • (iv)
    53°
  • (v)
    49°
Question 11
11.
In the given figure, find ∠GEF
  • (i)
    101°
  • (ii)
    102°
  • (iii)
    100°
  • (iv)
    103°
  • (v)
    99°
Question 12
12.
In the given figure, find ∠LMK
  • (i)
    39°
  • (ii)
    40°
  • (iii)
    41°
  • (iv)
    38°
  • (v)
    42°
Question 13
13.
In the given figure, find ∠CGF
  • (i)
    145°
  • (ii)
    147°
  • (iii)
    146°
  • (iv)
    148°
  • (v)
    149°
Question 14
14.
In below given figure, find ∠DGF
  • (i)
    112.79°
  • (ii)
    114.79°
  • (iii)
    113.79°
  • (iv)
    116.79°
  • (v)
    115.79°
Question 15
15.
In below given figure, find ∠GDE
  • (i)
    69.27°
  • (ii)
    70.27°
  • (iii)
    73.27°
  • (iv)
    71.27°
  • (v)
    72.27°
Question 16
16.
In below given figure, find ∠GEI
  • (i)
    119.59°
  • (ii)
    121.59°
  • (iii)
    118.59°
  • (iv)
    122.59°
  • (v)
    120.59°
Question 17
17.
In the given figure, find the values of x and y.
  • (i)
    x
    =
    23.01°
    ,
    y
    =
    42.41°
  • (ii)
    x
    =
    21.01°
    ,
    y
    =
    40.41°
  • (iii)
    x
    =
    20.01°
    ,
    y
    =
    39.41°
  • (iv)
    x
    =
    22.01°
    ,
    y
    =
    41.41°
  • (v)
    x
    =
    24.01°
    ,
    y
    =
    43.41°
Question 18
18.
In the given figure, NO ∥ PQ, ∠GDO = 60° and DE = FD. Find the measure of x.
  • (i)
    x
    =
    61°
  • (ii)
    x
    =
    60°
  • (iii)
    x
    =
    58°
  • (iv)
    x
    =
    62°
  • (v)
    x
    =
    59°
Question 19
19.
In the given figure, find the value of x.
  • (i)
    x
    =
    26.5°
  • (ii)
    x
    =
    27.5°
  • (iii)
    x
    =
    28.5°
  • (iv)
    x
    =
    25.5°
  • (v)
    x
    =
    29.5°
Question 20
20.
In the given figure, if LJ = JM = KM. Find the value of x.
  • (i)
    x
    =
    84°
  • (ii)
    x
    =
    83°
  • (iii)
    x
    =
    85°
  • (iv)
    x
    =
    86°
  • (v)
    x
    =
    82°
Question 21
21.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    107°
    ,
    y
    =
    33°
  • (ii)
    x
    =
    105°
    ,
    y
    =
    31°
  • (iii)
    x
    =
    104°
    ,
    y
    =
    30°
  • (iv)
    x
    =
    108°
    ,
    y
    =
    34°
  • (v)
    x
    =
    106°
    ,
    y
    =
    32°
Question 22
22.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    110°
    ,
    y
    =
    110°
  • (ii)
    x
    =
    108°
    ,
    y
    =
    108°
  • (iii)
    x
    =
    106°
    ,
    y
    =
    106°
  • (iv)
    x
    =
    107°
    ,
    y
    =
    107°
  • (v)
    x
    =
    109°
    ,
    y
    =
    109°
Question 23
23.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    139°
  • (ii)
    x
    =
    141°
  • (iii)
    x
    =
    140°
  • (iv)
    x
    =
    142°
  • (v)
    x
    =
    138°
Question 24
24.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    24.5°
  • (ii)
    x
    =
    20.5°
  • (iii)
    x
    =
    22.5°
  • (iv)
    x
    =
    21.5°
  • (v)
    x
    =
    23.5°
Question 25
25.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    114°
    ,
    y
    =
    149°
  • (ii)
    x
    =
    116°
    ,
    y
    =
    151°
  • (iii)
    x
    =
    113°
    ,
    y
    =
    148°
  • (iv)
    x
    =
    115°
    ,
    y
    =
    150°
  • (v)
    x
    =
    117°
    ,
    y
    =
    152°
Question 26
26.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    97°
    ,
    y
    =
    122°
  • (ii)
    x
    =
    93°
    ,
    y
    =
    118°
  • (iii)
    x
    =
    94°
    ,
    y
    =
    119°
  • (iv)
    x
    =
    96°
    ,
    y
    =
    121°
  • (v)
    x
    =
    95°
    ,
    y
    =
    120°
Question 27
27.
In the given figure, it is given that KJ ∥ ML , ∠KML = 42° and ∠KJI = 109°. Find the value of x.
  • (i)
    x
    =
    30°
  • (ii)
    x
    =
    29°
  • (iii)
    x
    =
    28°
  • (iv)
    x
    =
    31°
  • (v)
    x
    =
    27°
Question 28
28.
In the given figure, △FGH in which side GH has been produced to I. If ∠HFG = x° , ∠FGH = (2/3a)° , ∠GHF = (2/3a)° and ∠FHI = (4/3a)°, find the values of a and x.
  • (i)
    a
    =
    91°
    ,
    x
    =
    61°
  • (ii)
    a
    =
    89°
    ,
    x
    =
    59°
  • (iii)
    a
    =
    90°
    ,
    x
    =
    60°
  • (iv)
    a
    =
    92°
    ,
    x
    =
    62°
  • (v)
    a
    =
    88°
    ,
    x
    =
    58°
Question 29
29.
    • In the given figure, ∠K = 56.91° and ∠L = 55.91°.
    • Side LM is produced to N, so that ∠LMK  and ∠KMN form a linear pair.
    • If
    • ⟶
      MO
    • and
    • ⟶
      MP
    • are the bisectors of
    • ∠LMK
    • and
    • ∠KMN
    • , find x and y.
  • (i)
    x
    =
    32.59°
    ,
    y
    =
    55.41°
  • (ii)
    x
    =
    31.59°
    ,
    y
    =
    54.41°
  • (iii)
    x
    =
    33.59°
    ,
    y
    =
    56.41°
  • (iv)
    x
    =
    34.59°
    ,
    y
    =
    57.41°
  • (v)
    x
    =
    35.59°
    ,
    y
    =
    58.41°
Question 30
30.
In the given figure, find the values of x and y
  • (i)
    x
    =
    60.1°
    ,
    y
    =
    49.25°
  • (ii)
    x
    =
    62.1°
    ,
    y
    =
    51.25°
  • (iii)
    x
    =
    61.1°
    ,
    y
    =
    50.25°
  • (iv)
    x
    =
    59.1°
    ,
    y
    =
    48.25°
  • (v)
    x
    =
    63.1°
    ,
    y
    =
    52.25°
Question 31
31.
In the given figure, JK ∥ LM and JL = LN. Find the values of x,y and z.
  • (i)
    x
    =
    38°
    ,
    y
    =
    71°
    ,
    z
    =
    36°
  • (ii)
    x
    =
    36°
    ,
    y
    =
    71°
    ,
    z
    =
    38°
  • (iii)
    x
    =
    36°
    ,
    y
    =
    69°
    ,
    z
    =
    40°
  • (iv)
    x
    =
    34°
    ,
    y
    =
    73°
    ,
    z
    =
    38°
  • (v)
    x
    =
    34°
    ,
    y
    =
    71°
    ,
    z
    =
    40°
Question 32
32.
In the given figure, if MJ = KM and JN = NL , find the value of x.
  • (i)
    x
    =
    67°
  • (ii)
    x
    =
    64°
  • (iii)
    x
    =
    68°
  • (iv)
    x
    =
    66°
  • (v)
    x
    =
    65°
Question 33
33.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    31°
    ,
    y
    =
    35°
    ,
    z
    =
    66°
  • (ii)
    x
    =
    31°
    ,
    y
    =
    33°
    ,
    z
    =
    68°
  • (iii)
    x
    =
    29°
    ,
    y
    =
    35°
    ,
    z
    =
    68°
  • (iv)
    x
    =
    29°
    ,
    y
    =
    37°
    ,
    z
    =
    66°
  • (v)
    x
    =
    33°
    ,
    y
    =
    35°
    ,
    z
    =
    64°
    Assignment Key
  •  1) (iii)
  •  2) (iii)
  •  3) (ii)
  •  4) (v)
  •  5) (ii)
  •  6) (i)
  •  7) (i)
  •  8) (ii)
  •  9) (i)
  •  10) (i)
  •  11) (i)
  •  12) (ii)
  •  13) (ii)
  •  14) (ii)
  •  15) (iv)
  •  16) (v)
  •  17) (iv)
  •  18) (ii)
  •  19) (ii)
  •  20) (i)
  •  21) (v)
  •  22) (ii)
  •  23) (iii)
  •  24) (iii)
  •  25) (iv)
  •  26) (v)
  •  27) (ii)
  •  28) (iii)
  •  29) (iii)
  •  30) (iii)
  •  31) (ii)
  •  32) (iv)
  •  33) (i)