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
    =
    67.82°
  • (ii)
    x
    =
    65.82°
  • (iii)
    x
    =
    66.82°
  • (iv)
    x
    =
    64.82°
  • (v)
    x
    =
    63.82°
Question 2
2.
Find the unknown marked angle in the following figure
  • (i)
    x
    =
    58.19°
  • (ii)
    x
    =
    56.19°
  • (iii)
    x
    =
    60.19°
  • (iv)
    x
    =
    59.19°
  • (v)
    x
    =
    57.19°
Question 3
3.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle
  • (i)
    I
    =
    62°
    ,
    J
    =
    45°
    ,
    K
    =
    73°
  • (ii)
    I
    =
    58°
    ,
    J
    =
    45°
    ,
    K
    =
    77°
  • (iii)
    I
    =
    60°
    ,
    J
    =
    43°
    ,
    K
    =
    77°
  • (iv)
    I
    =
    60°
    ,
    J
    =
    45°
    ,
    K
    =
    75°
  • (v)
    I
    =
    58°
    ,
    J
    =
    47°
    ,
    K
    =
    75°
Question 4
4.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle.
  • (i)
    F
    =
    62°
    ,
    G
    =
    45°
    ,
    H
    =
    73°
  • (ii)
    F
    =
    58°
    ,
    G
    =
    47°
    ,
    H
    =
    75°
  • (iii)
    F
    =
    58°
    ,
    G
    =
    45°
    ,
    H
    =
    77°
  • (iv)
    F
    =
    60°
    ,
    G
    =
    45°
    ,
    H
    =
    75°
  • (v)
    F
    =
    60°
    ,
    G
    =
    43°
    ,
    H
    =
    77°
Question 5
5.
In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.
  • (i)
    x
    =
    58°
    ,
    y
    =
    47°
    ,
    z
    =
    75°
  • (ii)
    x
    =
    60°
    ,
    y
    =
    43°
    ,
    z
    =
    77°
  • (iii)
    x
    =
    62°
    ,
    y
    =
    45°
    ,
    z
    =
    73°
  • (iv)
    x
    =
    58°
    ,
    y
    =
    45°
    ,
    z
    =
    77°
  • (v)
    x
    =
    60°
    ,
    y
    =
    45°
    ,
    z
    =
    75°
Question 6
6.
In the following figure, one side of a triangle has been produced. Find the values of x and y.
  • (i)
    x
    =
    50°
    ,
    y
    =
    75°
  • (ii)
    x
    =
    51°
    ,
    y
    =
    76°
  • (iii)
    x
    =
    48°
    ,
    y
    =
    73°
  • (iv)
    x
    =
    49°
    ,
    y
    =
    74°
  • (v)
    x
    =
    52°
    ,
    y
    =
    77°
Question 7
7.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    49.31°
  • (ii)
    x
    =
    52.31°
  • (iii)
    x
    =
    51.31°
  • (iv)
    x
    =
    50.31°
  • (v)
    x
    =
    48.31°
Question 8
8.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    47°
  • (ii)
    x
    =
    46°
  • (iii)
    x
    =
    44°
  • (iv)
    x
    =
    45°
  • (v)
    x
    =
    43°
Question 9
9.
Find the unknown angle in the following figure
  • (i)
    x
    =
    133°
  • (ii)
    x
    =
    136°
  • (iii)
    x
    =
    137°
  • (iv)
    x
    =
    134°
  • (v)
    x
    =
    135°
Question 10
10.
In the given figure, find ∠BCA
  • (i)
    54°
  • (ii)
    52°
  • (iii)
    51°
  • (iv)
    55°
  • (v)
    53°
Question 11
11.
In the given figure, find ∠ECD
  • (i)
    99°
  • (ii)
    100°
  • (iii)
    101°
  • (iv)
    102°
  • (v)
    98°
Question 12
12.
In the given figure, find ∠IJH
  • (i)
    55°
  • (ii)
    56°
  • (iii)
    53°
  • (iv)
    52°
  • (v)
    54°
Question 13
13.
In the given figure, find ∠EIH
  • (i)
    145°
  • (ii)
    141°
  • (iii)
    143°
  • (iv)
    142°
  • (v)
    144°
Question 14
14.
In below given figure, find ∠HKJ
  • (i)
    127.88°
  • (ii)
    130.88°
  • (iii)
    131.88°
  • (iv)
    129.88°
  • (v)
    128.88°
Question 15
15.
In below given figure, find ∠DAB
  • (i)
    65.80°
  • (ii)
    68.80°
  • (iii)
    67.80°
  • (iv)
    69.80°
  • (v)
    66.80°
Question 16
16.
In below given figure, find ∠GEI
  • (i)
    100.51°
  • (ii)
    103.51°
  • (iii)
    102.51°
  • (iv)
    101.51°
  • (v)
    99.51°
Question 17
17.
In the given figure, find the values of x and y.
  • (i)
    x
    =
    139.04°
    ,
    y
    =
    42.96°
  • (ii)
    x
    =
    136.04°
    ,
    y
    =
    39.96°
  • (iii)
    x
    =
    140.04°
    ,
    y
    =
    43.96°
  • (iv)
    x
    =
    137.04°
    ,
    y
    =
    40.96°
  • (v)
    x
    =
    138.04°
    ,
    y
    =
    41.96°
Question 18
18.
In the given figure, QR ∥ ST, ∠JGR = 60° and GH = IG. Find the measure of x.
  • (i)
    x
    =
    60°
  • (ii)
    x
    =
    58°
  • (iii)
    x
    =
    61°
  • (iv)
    x
    =
    59°
  • (v)
    x
    =
    62°
Question 19
19.
In the given figure, find the value of x.
  • (i)
    x
    =
    25.5°
  • (ii)
    x
    =
    23.5°
  • (iii)
    x
    =
    24.5°
  • (iv)
    x
    =
    27.5°
  • (v)
    x
    =
    26.5°
Question 20
20.
In the given figure, if GE = EH = FH. Find the value of x.
  • (i)
    x
    =
    81.5°
  • (ii)
    x
    =
    80.5°
  • (iii)
    x
    =
    79.5°
  • (iv)
    x
    =
    78.5°
  • (v)
    x
    =
    77.5°
Question 21
21.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    111°
    ,
    y
    =
    43°
  • (ii)
    x
    =
    112°
    ,
    y
    =
    44°
  • (iii)
    x
    =
    114°
    ,
    y
    =
    46°
  • (iv)
    x
    =
    110°
    ,
    y
    =
    42°
  • (v)
    x
    =
    113°
    ,
    y
    =
    45°
Question 22
22.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    115°
    ,
    y
    =
    115°
  • (ii)
    x
    =
    113°
    ,
    y
    =
    113°
  • (iii)
    x
    =
    111°
    ,
    y
    =
    111°
  • (iv)
    x
    =
    112°
    ,
    y
    =
    112°
  • (v)
    x
    =
    114°
    ,
    y
    =
    114°
Question 23
23.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    137°
  • (ii)
    x
    =
    135°
  • (iii)
    x
    =
    134°
  • (iv)
    x
    =
    138°
  • (v)
    x
    =
    136°
Question 24
24.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    20.5°
  • (ii)
    x
    =
    21.5°
  • (iii)
    x
    =
    24.5°
  • (iv)
    x
    =
    22.5°
  • (v)
    x
    =
    23.5°
Question 25
25.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    117°
    ,
    y
    =
    147°
  • (ii)
    x
    =
    119°
    ,
    y
    =
    149°
  • (iii)
    x
    =
    120°
    ,
    y
    =
    150°
  • (iv)
    x
    =
    118°
    ,
    y
    =
    148°
  • (v)
    x
    =
    116°
    ,
    y
    =
    146°
Question 26
26.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    90°
    ,
    y
    =
    114°
  • (ii)
    x
    =
    94°
    ,
    y
    =
    118°
  • (iii)
    x
    =
    93°
    ,
    y
    =
    117°
  • (iv)
    x
    =
    91°
    ,
    y
    =
    115°
  • (v)
    x
    =
    92°
    ,
    y
    =
    116°
Question 27
27.
In the given figure, it is given that ED ∥ GF , ∠EGF = 66° and ∠EDC = 86°. Find the value of x.
  • (i)
    x
    =
    30°
  • (ii)
    x
    =
    29°
  • (iii)
    x
    =
    26°
  • (iv)
    x
    =
    27°
  • (v)
    x
    =
    28°
Question 28
28.
In the given figure, △GHI in which side HI has been produced to J. If ∠IGH = x° , ∠GHI = (5/3a)° , ∠HIG = (4/3a)° and ∠GIJ = (14/3a)°, find the values of a and x.
  • (i)
    a
    =
    31°
    ,
    x
    =
    91°
  • (ii)
    a
    =
    29°
    ,
    x
    =
    89°
  • (iii)
    a
    =
    32°
    ,
    x
    =
    92°
  • (iv)
    a
    =
    28°
    ,
    x
    =
    88°
  • (v)
    a
    =
    30°
    ,
    x
    =
    90°
Question 29
29.
    • In the given figure, ∠H = 67.82° and ∠I = 50.45°.
    • 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
    =
    30.86°
    ,
    y
    =
    59.14°
  • (ii)
    x
    =
    29.86°
    ,
    y
    =
    58.14°
  • (iii)
    x
    =
    32.86°
    ,
    y
    =
    61.14°
  • (iv)
    x
    =
    31.86°
    ,
    y
    =
    60.14°
  • (v)
    x
    =
    28.86°
    ,
    y
    =
    57.14°
Question 30
30.
In the given figure, find the values of x and y
  • (i)
    x
    =
    45.99°
    ,
    y
    =
    50.91°
  • (ii)
    x
    =
    41.99°
    ,
    y
    =
    46.91°
  • (iii)
    x
    =
    43.99°
    ,
    y
    =
    48.91°
  • (iv)
    x
    =
    44.99°
    ,
    y
    =
    49.91°
  • (v)
    x
    =
    42.99°
    ,
    y
    =
    47.91°
Question 31
31.
In the given figure, CD ∥ EF and CE = EG. Find the values of x,y and z.
  • (i)
    x
    =
    34°
    ,
    y
    =
    71°
    ,
    z
    =
    36°
  • (ii)
    x
    =
    32°
    ,
    y
    =
    73°
    ,
    z
    =
    36°
  • (iii)
    x
    =
    36°
    ,
    y
    =
    73°
    ,
    z
    =
    32°
  • (iv)
    x
    =
    34°
    ,
    y
    =
    73°
    ,
    z
    =
    34°
  • (v)
    x
    =
    32°
    ,
    y
    =
    75°
    ,
    z
    =
    34°
Question 32
32.
In the given figure, if NK = LN and KO = OM , find the value of x.
  • (i)
    x
    =
    59.64°
  • (ii)
    x
    =
    57.64°
  • (iii)
    x
    =
    55.64°
  • (iv)
    x
    =
    58.64°
  • (v)
    x
    =
    56.64°
Question 33
33.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    38°
    ,
    y
    =
    36°
    ,
    z
    =
    74°
  • (ii)
    x
    =
    40°
    ,
    y
    =
    32°
    ,
    z
    =
    76°
  • (iii)
    x
    =
    38°
    ,
    y
    =
    34°
    ,
    z
    =
    76°
  • (iv)
    x
    =
    42°
    ,
    y
    =
    34°
    ,
    z
    =
    72°
  • (v)
    x
    =
    40°
    ,
    y
    =
    34°
    ,
    z
    =
    74°
    Assignment Key
  •  1) (ii)
  •  2) (i)
  •  3) (iv)
  •  4) (iv)
  •  5) (v)
  •  6) (i)
  •  7) (iv)
  •  8) (iv)
  •  9) (v)
  •  10) (v)
  •  11) (ii)
  •  12) (v)
  •  13) (iii)
  •  14) (iv)
  •  15) (iii)
  •  16) (iv)
  •  17) (v)
  •  18) (i)
  •  19) (i)
  •  20) (iii)
  •  21) (ii)
  •  22) (ii)
  •  23) (v)
  •  24) (iv)
  •  25) (iv)
  •  26) (v)
  •  27) (v)
  •  28) (v)
  •  29) (i)
  •  30) (iii)
  •  31) (iv)
  •  32) (ii)
  •  33) (v)