EduSahara™ Assignment
Name : Triangle Interior Angle Properties using Diagrams
Chapter : Triangles and Its Properties
Grade : SSC Grade VII
License : Non Commercial Use
Question 1
1.
Find the unknown angle from the following figure
  • (i)
    x
    =
    82.94°
  • (ii)
    x
    =
    80.94°
  • (iii)
    x
    =
    81.94°
  • (iv)
    x
    =
    83.94°
  • (v)
    x
    =
    84.94°
Question 2
2.
Find the angles of the triangle
  • (i)
    G
    =
    58°
    ,
    H
    =
    30°
    ,
    I
    =
    92°
  • (ii)
    G
    =
    62°
    ,
    H
    =
    30°
    ,
    I
    =
    88°
  • (iii)
    G
    =
    58°
    ,
    H
    =
    32°
    ,
    I
    =
    90°
  • (iv)
    G
    =
    60°
    ,
    H
    =
    30°
    ,
    I
    =
    90°
  • (v)
    G
    =
    60°
    ,
    H
    =
    28°
    ,
    I
    =
    92°
Question 3
3.
Calculate the value of x in the following figure
  • (i)
    x
    =
    36.66°
  • (ii)
    x
    =
    38.66°
  • (iii)
    x
    =
    40.66°
  • (iv)
    x
    =
    39.66°
  • (v)
    x
    =
    37.66°
Question 4
4.
    • Find the unknown angles in the following figure
  • (i)
    I
    =
    49°
    ,
    J
    =
    49°
  • (ii)
    I
    =
    51°
    ,
    J
    =
    51°
  • (iii)
    I
    =
    48°
    ,
    J
    =
    48°
  • (iv)
    I
    =
    52°
    ,
    J
    =
    52°
  • (v)
    I
    =
    50°
    ,
    J
    =
    50°
Question 5
5.
In the given triangle, ∠I = 87.36°. Find the measure of ∠J and ∠K
  • (i)
    ∠J = ∠K = 48.32°
  • (ii)
    ∠J = ∠K = 46.32°
  • (iii)
    ∠J = ∠K = 45.32°
  • (iv)
    ∠J = ∠K = 44.32°
  • (v)
    ∠J = ∠K = 47.32°
Question 6
6.
Find the unknown angle in the following figure
  • (i)
    x
    =
    70.04°
  • (ii)
    x
    =
    69.04°
  • (iii)
    x
    =
    68.04°
  • (iv)
    x
    =
    72.04°
  • (v)
    x
    =
    71.04°
Question 7
7.
Find the unknown angle in the following figure
  • (i)
    x
    =
    47°
  • (ii)
    x
    =
    46°
  • (iii)
    x
    =
    44°
  • (iv)
    x
    =
    43°
  • (v)
    x
    =
    45°
Question 8
8.
In the given figure , if EB ⟂ CD and ∠BCE = 41.13°, find ∠EBC
  • (i)
    47.87°
  • (ii)
    46.87°
  • (iii)
    49.87°
  • (iv)
    48.87°
  • (v)
    50.87°
Question 9
9.
In the given figure , if FC ⟂ DE and ∠CDF = 42.82°, find ∠ECF
  • (i)
    31.92°
  • (ii)
    34.92°
  • (iii)
    30.92°
  • (iv)
    33.92°
  • (v)
    32.92°
Question 10
10.
In the given figure , if EB ⟂ CD and ∠BCE = 56.07°, find ∠EDB
  • (i)
    70.02°
  • (ii)
    66.02°
  • (iii)
    67.02°
  • (iv)
    68.02°
  • (v)
    69.02°
Question 11
11.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    71.58°
  • (ii)
    x
    =
    70.58°
  • (iii)
    x
    =
    73.58°
  • (iv)
    x
    =
    69.58°
  • (v)
    x
    =
    72.58°
Question 12
12.
Find the value of x in the given figure.
  • (i)
    x
    =
    20°
  • (ii)
    x
    =
    21°
  • (iii)
    x
    =
    22°
  • (iv)
    x
    =
    23°
  • (v)
    x
    =
    19°
Question 13
13.
    • In the given figure,
    • △CDE
    • is a triangle in which
    • ∠C
    • =
    • ∠D
    • =
    • ∠E
    • .
    • This bisectors of
    • ∠D
    • and
    • ∠E
    • intersect at
    • F
    • .
    • Find
    • ∠F
    • =
  • (i)
    118°
  • (ii)
    121°
  • (iii)
    119°
  • (iv)
    120°
  • (v)
    122°
Question 14
14.
    • In the given figure, △FGH is a triangle in which ∠G = 65.14° and ∠H = 70.08°.
    • If 'z' is the angle between the bisector of ∠G and ∠H, then find z.
  • (i)
    111.39°
  • (ii)
    114.39°
  • (iii)
    113.39°
  • (iv)
    112.39°
  • (v)
    110.39°
Question 15
15.
    • In the given figure, ∠D = 53.04° and ∠E = 61.19°.
    • Side EF is produced to G, so that ∠EFD  and ∠DFG form a linear pair.
    • If
    • ⟶
      FH
    • and
    • ⟶
      FI
    • are the bisectors of
    • ∠EFD
    • and
    • ∠DFG
    • , find x and y.
  • (i)
    x
    =
    32.88°
    ,
    y
    =
    57.12°
  • (ii)
    x
    =
    30.88°
    ,
    y
    =
    55.12°
  • (iii)
    x
    =
    33.88°
    ,
    y
    =
    58.12°
  • (iv)
    x
    =
    31.88°
    ,
    y
    =
    56.12°
  • (v)
    x
    =
    34.88°
    ,
    y
    =
    59.12°
Question 16
16.
In the given figure, find the values of x and y
  • (i)
    x
    =
    62.89°
    ,
    y
    =
    48.47°
  • (ii)
    x
    =
    59.89°
    ,
    y
    =
    45.47°
  • (iii)
    x
    =
    60.89°
    ,
    y
    =
    46.47°
  • (iv)
    x
    =
    63.89°
    ,
    y
    =
    49.47°
  • (v)
    x
    =
    61.89°
    ,
    y
    =
    47.47°
Question 17
17.
In the given figure, △IJK in which ∠J = 61.79° and ∠K = 50.4°. IL and JK bisects each other. Find the value of z
  • (i)
    z
    =
    66.81°
  • (ii)
    z
    =
    69.81°
  • (iii)
    z
    =
    67.81°
  • (iv)
    z
    =
    65.81°
  • (v)
    z
    =
    68.81°
Question 18
18.
In the given figure, AB ∥ CD and AC = CE. Find the values of x,y and z.
  • (i)
    x
    =
    31°
    ,
    y
    =
    60°
    ,
    z
    =
    58°
  • (ii)
    x
    =
    29°
    ,
    y
    =
    64°
    ,
    z
    =
    56°
  • (iii)
    x
    =
    33°
    ,
    y
    =
    62°
    ,
    z
    =
    54°
  • (iv)
    x
    =
    29°
    ,
    y
    =
    62°
    ,
    z
    =
    58°
  • (v)
    x
    =
    31°
    ,
    y
    =
    62°
    ,
    z
    =
    56°
Question 19
19.
In the given figure, if AD = EA, find the values of x , y , z and t
  • (i)
    x =52.22°, y =25.63°, z =26.49° , t =117.11°
  • (ii)
    x =52.22°, y =27.63°, z =27.49° , t =116.11°
  • (iii)
    x =52.22°, y =25.63°, z =24.49° , t =115.11°
  • (iv)
    x =52.22°, y =23.63°, z =23.49° , t =116.11°
  • (v)
    x =52.22°, y =25.63°, z =25.49° , t =116.11°
Question 20
20.
In the following figure CD ∥ FE, find the values of x and y.
  • (i)
    x
    =
    21°
    ,
    y
    =
    135°
  • (ii)
    x
    =
    23°
    ,
    y
    =
    137°
  • (iii)
    x
    =
    22°
    ,
    y
    =
    136°
  • (iv)
    x
    =
    24°
    ,
    y
    =
    138°
  • (v)
    x
    =
    20°
    ,
    y
    =
    134°
Question 21
21.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    55°
    ,
    y
    =
    35°
    ,
    z
    =
    94°
  • (ii)
    x
    =
    53°
    ,
    y
    =
    39°
    ,
    z
    =
    92°
  • (iii)
    x
    =
    53°
    ,
    y
    =
    37°
    ,
    z
    =
    94°
  • (iv)
    x
    =
    57°
    ,
    y
    =
    37°
    ,
    z
    =
    90°
  • (v)
    x
    =
    55°
    ,
    y
    =
    37°
    ,
    z
    =
    92°
Question 22
22.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    82°
    ,
    y
    =
    65°
    ,
    z
    =
    52°
  • (ii)
    x
    =
    86°
    ,
    y
    =
    65°
    ,
    z
    =
    48°
  • (iii)
    x
    =
    84°
    ,
    y
    =
    63°
    ,
    z
    =
    52°
  • (iv)
    x
    =
    82°
    ,
    y
    =
    67°
    ,
    z
    =
    50°
  • (v)
    x
    =
    84°
    ,
    y
    =
    65°
    ,
    z
    =
    50°
Question 23
23.
In the given two equilateral triangles, find ∠A + ∠C + ∠E + ∠B + ∠D + ∠F .
  • (i)
    362°
  • (ii)
    361°
  • (iii)
    360°
  • (iv)
    359°
  • (v)
    358°
    Assignment Key
  •  1) (i)
  •  2) (iv)
  •  3) (ii)
  •  4) (v)
  •  5) (ii)
  •  6) (i)
  •  7) (v)
  •  8) (iv)
  •  9) (v)
  •  10) (iv)
  •  11) (i)
  •  12) (ii)
  •  13) (iv)
  •  14) (iv)
  •  15) (i)
  •  16) (v)
  •  17) (iii)
  •  18) (v)
  •  19) (v)
  •  20) (iii)
  •  21) (v)
  •  22) (v)
  •  23) (iii)