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
    =
    70.07°
  • (ii)
    x
    =
    68.07°
  • (iii)
    x
    =
    66.07°
  • (iv)
    x
    =
    69.07°
  • (v)
    x
    =
    67.07°
Question 2
2.
Find the unknown marked angle in the following figure
  • (i)
    x
    =
    35.95°
  • (ii)
    x
    =
    34.95°
  • (iii)
    x
    =
    38.95°
  • (iv)
    x
    =
    36.95°
  • (v)
    x
    =
    37.95°
Question 3
3.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle
  • (i)
    K
    =
    58°
    ,
    L
    =
    45°
    ,
    M
    =
    77°
  • (ii)
    K
    =
    60°
    ,
    L
    =
    43°
    ,
    M
    =
    77°
  • (iii)
    K
    =
    58°
    ,
    L
    =
    47°
    ,
    M
    =
    75°
  • (iv)
    K
    =
    62°
    ,
    L
    =
    45°
    ,
    M
    =
    73°
  • (v)
    K
    =
    60°
    ,
    L
    =
    45°
    ,
    M
    =
    75°
Question 4
4.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle.
  • (i)
    K
    =
    58°
    ,
    L
    =
    47°
    ,
    M
    =
    75°
  • (ii)
    K
    =
    60°
    ,
    L
    =
    43°
    ,
    M
    =
    77°
  • (iii)
    K
    =
    58°
    ,
    L
    =
    45°
    ,
    M
    =
    77°
  • (iv)
    K
    =
    60°
    ,
    L
    =
    45°
    ,
    M
    =
    75°
  • (v)
    K
    =
    62°
    ,
    L
    =
    45°
    ,
    M
    =
    73°
Question 5
5.
In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.
  • (i)
    x
    =
    25°
    ,
    y
    =
    60°
    ,
    z
    =
    95°
  • (ii)
    x
    =
    23°
    ,
    y
    =
    60°
    ,
    z
    =
    97°
  • (iii)
    x
    =
    25°
    ,
    y
    =
    58°
    ,
    z
    =
    97°
  • (iv)
    x
    =
    23°
    ,
    y
    =
    62°
    ,
    z
    =
    95°
  • (v)
    x
    =
    27°
    ,
    y
    =
    60°
    ,
    z
    =
    93°
Question 6
6.
In the following figure, one side of a triangle has been produced. Find the values of x and y.
  • (i)
    x
    =
    38°
    ,
    y
    =
    73°
  • (ii)
    x
    =
    39°
    ,
    y
    =
    74°
  • (iii)
    x
    =
    40°
    ,
    y
    =
    75°
  • (iv)
    x
    =
    41°
    ,
    y
    =
    76°
  • (v)
    x
    =
    42°
    ,
    y
    =
    77°
Question 7
7.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    51.5°
  • (ii)
    x
    =
    49.5°
  • (iii)
    x
    =
    48.5°
  • (iv)
    x
    =
    50.5°
  • (v)
    x
    =
    47.5°
Question 8
8.
Calculate the value of the lettered angle in the following figure
  • (i)
    x
    =
    22.73°
  • (ii)
    x
    =
    24.73°
  • (iii)
    x
    =
    26.73°
  • (iv)
    x
    =
    23.73°
  • (v)
    x
    =
    25.73°
Question 9
9.
Find the unknown angle in the following figure
  • (i)
    x
    =
    134°
  • (ii)
    x
    =
    135°
  • (iii)
    x
    =
    133°
  • (iv)
    x
    =
    137°
  • (v)
    x
    =
    136°
Question 10
10.
In the given figure, find ∠BCA
  • (i)
    75°
  • (ii)
    73°
  • (iii)
    74°
  • (iv)
    71°
  • (v)
    72°
Question 11
11.
In the given figure, find ∠OMN
  • (i)
    112°
  • (ii)
    113°
  • (iii)
    115°
  • (iv)
    116°
  • (v)
    114°
Question 12
12.
In the given figure, find ∠EFD
  • (i)
    33°
  • (ii)
    34°
  • (iii)
    36°
  • (iv)
    35°
  • (v)
    37°
Question 13
13.
In the given figure, find ∠IML
  • (i)
    153°
  • (ii)
    151°
  • (iii)
    150°
  • (iv)
    149°
  • (v)
    152°
Question 14
14.
In below given figure, find ∠HKJ
  • (i)
    113.08°
  • (ii)
    112.08°
  • (iii)
    110.08°
  • (iv)
    111.08°
  • (v)
    109.08°
Question 15
15.
In below given figure, find ∠EBC
  • (i)
    61.07°
  • (ii)
    65.07°
  • (iii)
    64.07°
  • (iv)
    62.07°
  • (v)
    63.07°
Question 16
16.
In below given figure, find ∠KIM
  • (i)
    101.36°
  • (ii)
    104.36°
  • (iii)
    100.36°
  • (iv)
    103.36°
  • (v)
    102.36°
Question 17
17.
In the given figure, find the values of x and y.
  • (i)
    x
    =
    30.8°
    ,
    y
    =
    56.77°
  • (ii)
    x
    =
    28.8°
    ,
    y
    =
    54.77°
  • (iii)
    x
    =
    31.8°
    ,
    y
    =
    57.77°
  • (iv)
    x
    =
    27.8°
    ,
    y
    =
    53.77°
  • (v)
    x
    =
    29.8°
    ,
    y
    =
    55.77°
Question 18
18.
In the given figure, OP ∥ QR, ∠DAP = 63° and AB = CA. Find the measure of x.
  • (i)
    x
    =
    56°
  • (ii)
    x
    =
    54°
  • (iii)
    x
    =
    52°
  • (iv)
    x
    =
    55°
  • (v)
    x
    =
    53°
Question 19
19.
In the given figure, find the value of x.
  • (i)
    x
    =
    132°
  • (ii)
    x
    =
    135°
  • (iii)
    x
    =
    136°
  • (iv)
    x
    =
    133°
  • (v)
    x
    =
    134°
Question 20
20.
In the given figure, if HF = FI = GI. Find the value of x.
  • (i)
    x
    =
    76°
  • (ii)
    x
    =
    74°
  • (iii)
    x
    =
    75°
  • (iv)
    x
    =
    73°
  • (v)
    x
    =
    77°
Question 21
21.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    113°
    ,
    y
    =
    44°
  • (ii)
    x
    =
    110°
    ,
    y
    =
    41°
  • (iii)
    x
    =
    109°
    ,
    y
    =
    40°
  • (iv)
    x
    =
    111°
    ,
    y
    =
    42°
  • (v)
    x
    =
    112°
    ,
    y
    =
    43°
Question 22
22.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    114°
    ,
    y
    =
    114°
  • (ii)
    x
    =
    112°
    ,
    y
    =
    112°
  • (iii)
    x
    =
    113°
    ,
    y
    =
    113°
  • (iv)
    x
    =
    111°
    ,
    y
    =
    111°
  • (v)
    x
    =
    110°
    ,
    y
    =
    110°
Question 23
23.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    143°
  • (ii)
    x
    =
    142°
  • (iii)
    x
    =
    144°
  • (iv)
    x
    =
    141°
  • (v)
    x
    =
    140°
Question 24
24.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    23.5°
  • (ii)
    x
    =
    22.5°
  • (iii)
    x
    =
    20.5°
  • (iv)
    x
    =
    21.5°
  • (v)
    x
    =
    24.5°
Question 25
25.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    114°
    ,
    y
    =
    151°
  • (ii)
    x
    =
    113°
    ,
    y
    =
    150°
  • (iii)
    x
    =
    111°
    ,
    y
    =
    148°
  • (iv)
    x
    =
    110°
    ,
    y
    =
    147°
  • (v)
    x
    =
    112°
    ,
    y
    =
    149°
Question 26
26.
Find the unknown marked angles in the following figure
  • (i)
    x
    =
    94°
    ,
    y
    =
    118°
  • (ii)
    x
    =
    92°
    ,
    y
    =
    116°
  • (iii)
    x
    =
    91°
    ,
    y
    =
    115°
  • (iv)
    x
    =
    93°
    ,
    y
    =
    117°
  • (v)
    x
    =
    90°
    ,
    y
    =
    114°
Question 27
27.
In the given figure, it is given that GF ∥ IH , ∠GIH = 85° and ∠GFE = 70°. Find the value of x.
  • (i)
    x
    =
    24°
  • (ii)
    x
    =
    27°
  • (iii)
    x
    =
    26°
  • (iv)
    x
    =
    25°
  • (v)
    x
    =
    23°
Question 28
28.
In the given figure, △BCD in which side CD has been produced to E. If ∠DBC = x° , ∠BCD = (6a)° , ∠CDB = (3a)° and ∠BDE = (15a)°, find the values of a and x.
  • (i)
    a
    =
    11°
    ,
    x
    =
    91°
  • (ii)
    a
    =
    8°
    ,
    x
    =
    88°
  • (iii)
    a
    =
    9°
    ,
    x
    =
    89°
  • (iv)
    a
    =
    10°
    ,
    x
    =
    90°
  • (v)
    a
    =
    12°
    ,
    x
    =
    92°
Question 29
29.
    • In the given figure, ∠H = 60.9° and ∠I = 68.6°.
    • 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
    =
    25.25°
    ,
    y
    =
    64.75°
  • (ii)
    x
    =
    27.25°
    ,
    y
    =
    66.75°
  • (iii)
    x
    =
    23.25°
    ,
    y
    =
    62.75°
  • (iv)
    x
    =
    26.25°
    ,
    y
    =
    65.75°
  • (v)
    x
    =
    24.25°
    ,
    y
    =
    63.75°
Question 30
30.
In the given figure, find the values of x and y
  • (i)
    x
    =
    66.24°
    ,
    y
    =
    43.83°
  • (ii)
    x
    =
    69.24°
    ,
    y
    =
    46.83°
  • (iii)
    x
    =
    68.24°
    ,
    y
    =
    45.83°
  • (iv)
    x
    =
    67.24°
    ,
    y
    =
    44.83°
  • (v)
    x
    =
    70.24°
    ,
    y
    =
    47.83°
Question 31
31.
In the given figure, IJ ∥ KL and IK = KM. Find the values of x,y and z.
  • (i)
    x
    =
    36°
    ,
    y
    =
    71°
    ,
    z
    =
    38°
  • (ii)
    x
    =
    34°
    ,
    y
    =
    73°
    ,
    z
    =
    38°
  • (iii)
    x
    =
    36°
    ,
    y
    =
    69°
    ,
    z
    =
    40°
  • (iv)
    x
    =
    34°
    ,
    y
    =
    71°
    ,
    z
    =
    40°
  • (v)
    x
    =
    38°
    ,
    y
    =
    71°
    ,
    z
    =
    36°
Question 32
32.
In the given figure, if KH = IK and HL = LJ , find the value of x.
  • (i)
    x
    =
    57.8°
  • (ii)
    x
    =
    61.8°
  • (iii)
    x
    =
    60.8°
  • (iv)
    x
    =
    59.8°
  • (v)
    x
    =
    58.8°
Question 33
33.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    40°
    ,
    y
    =
    34°
    ,
    z
    =
    74°
  • (ii)
    x
    =
    42°
    ,
    y
    =
    30°
    ,
    z
    =
    76°
  • (iii)
    x
    =
    44°
    ,
    y
    =
    32°
    ,
    z
    =
    72°
  • (iv)
    x
    =
    42°
    ,
    y
    =
    32°
    ,
    z
    =
    74°
  • (v)
    x
    =
    40°
    ,
    y
    =
    32°
    ,
    z
    =
    76°
    Assignment Key
  •  1) (ii)
  •  2) (iv)
  •  3) (v)
  •  4) (iv)
  •  5) (i)
  •  6) (iii)
  •  7) (ii)
  •  8) (ii)
  •  9) (ii)
  •  10) (ii)
  •  11) (v)
  •  12) (iv)
  •  13) (ii)
  •  14) (iv)
  •  15) (v)
  •  16) (v)
  •  17) (v)
  •  18) (ii)
  •  19) (v)
  •  20) (iii)
  •  21) (iv)
  •  22) (ii)
  •  23) (ii)
  •  24) (ii)
  •  25) (v)
  •  26) (ii)
  •  27) (iv)
  •  28) (iv)
  •  29) (i)
  •  30) (iii)
  •  31) (i)
  •  32) (iv)
  •  33) (iv)