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
    =
    65.19°
  • (ii)
    x
    =
    63.19°
  • (iii)
    x
    =
    64.19°
  • (iv)
    x
    =
    61.19°
  • (v)
    x
    =
    62.19°
Question 2
2.
Find the angles of the triangle
  • (i)
    F
    =
    60°
    ,
    G
    =
    45°
    ,
    H
    =
    75°
  • (ii)
    F
    =
    62°
    ,
    G
    =
    45°
    ,
    H
    =
    73°
  • (iii)
    F
    =
    58°
    ,
    G
    =
    45°
    ,
    H
    =
    77°
  • (iv)
    F
    =
    58°
    ,
    G
    =
    47°
    ,
    H
    =
    75°
  • (v)
    F
    =
    60°
    ,
    G
    =
    43°
    ,
    H
    =
    77°
Question 3
3.
Calculate the value of x in the following figure
  • (i)
    x
    =
    54.96°
  • (ii)
    x
    =
    51.96°
  • (iii)
    x
    =
    55.96°
  • (iv)
    x
    =
    52.96°
  • (v)
    x
    =
    53.96°
Question 4
4.
    • Find the unknown angles in the following figure
  • (i)
    E
    =
    35°
    ,
    F
    =
    35°
  • (ii)
    E
    =
    37°
    ,
    F
    =
    37°
  • (iii)
    E
    =
    36°
    ,
    F
    =
    36°
  • (iv)
    E
    =
    34°
    ,
    F
    =
    34°
  • (v)
    E
    =
    38°
    ,
    F
    =
    38°
Question 5
5.
In the given triangle, ∠E = 49.12°. Find the measure of ∠F and ∠G
  • (i)
    ∠F = ∠G = 66.44°
  • (ii)
    ∠F = ∠G = 67.44°
  • (iii)
    ∠F = ∠G = 65.44°
  • (iv)
    ∠F = ∠G = 64.44°
  • (v)
    ∠F = ∠G = 63.44°
Question 6
6.
Find the unknown angle in the following figure
  • (i)
    x
    =
    56°
  • (ii)
    x
    =
    52°
  • (iii)
    x
    =
    53°
  • (iv)
    x
    =
    55°
  • (v)
    x
    =
    54°
Question 7
7.
Find the unknown angle in the following figure
  • (i)
    x
    =
    43°
  • (ii)
    x
    =
    46°
  • (iii)
    x
    =
    47°
  • (iv)
    x
    =
    45°
  • (v)
    x
    =
    44°
Question 8
8.
In the given figure , if LI ⟂ JK and ∠IJL = 48.74°, find ∠LIJ
  • (i)
    39.26°
  • (ii)
    41.26°
  • (iii)
    43.26°
  • (iv)
    42.26°
  • (v)
    40.26°
Question 9
9.
In the given figure , if HE ⟂ FG and ∠EFH = 56.07°, find ∠GEH
  • (i)
    23.98°
  • (ii)
    22.98°
  • (iii)
    20.98°
  • (iv)
    19.98°
  • (v)
    21.98°
Question 10
10.
In the given figure , if IF ⟂ GH and ∠FGI = 48.74°, find ∠IHF
  • (i)
    62.24°
  • (ii)
    61.24°
  • (iii)
    60.24°
  • (iv)
    64.24°
  • (v)
    63.24°
Question 11
11.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    67.05°
  • (ii)
    x
    =
    68.05°
  • (iii)
    x
    =
    70.05°
  • (iv)
    x
    =
    71.05°
  • (v)
    x
    =
    69.05°
Question 12
12.
Find the value of x in the given figure.
  • (i)
    x
    =
    26°
  • (ii)
    x
    =
    27°
  • (iii)
    x
    =
    28°
  • (iv)
    x
    =
    30°
  • (v)
    x
    =
    29°
Question 13
13.
    • In the given figure,
    • △IJK
    • is a triangle in which
    • ∠I
    • =
    • ∠J
    • =
    • ∠K
    • .
    • This bisectors of
    • ∠J
    • and
    • ∠K
    • intersect at
    • L
    • .
    • Find
    • ∠L
    • =
  • (i)
    121°
  • (ii)
    118°
  • (iii)
    122°
  • (iv)
    119°
  • (v)
    120°
Question 14
14.
    • In the given figure, △GHI is a triangle in which ∠H = 47.84° and ∠I = 51.6°.
    • If 'z' is the angle between the bisector of ∠H and ∠I, then find z.
  • (i)
    131.28°
  • (ii)
    128.28°
  • (iii)
    132.28°
  • (iv)
    129.28°
  • (v)
    130.28°
Question 15
15.
    • In the given figure, ∠L = 76.54° and ∠M = 50.49°.
    • Side MN is produced to O, so that ∠MNL  and ∠LNO form a linear pair.
    • If
    • ⟶
      NP
    • and
    • ⟶
      NQ
    • are the bisectors of
    • ∠MNL
    • and
    • ∠LNO
    • , find x and y.
  • (i)
    x
    =
    24.48°
    ,
    y
    =
    61.52°
  • (ii)
    x
    =
    26.48°
    ,
    y
    =
    63.52°
  • (iii)
    x
    =
    25.48°
    ,
    y
    =
    62.52°
  • (iv)
    x
    =
    28.48°
    ,
    y
    =
    65.52°
  • (v)
    x
    =
    27.48°
    ,
    y
    =
    64.52°
Question 16
16.
In the given figure, find the values of x and y
  • (i)
    x
    =
    58.98°
    ,
    y
    =
    45.85°
  • (ii)
    x
    =
    57.98°
    ,
    y
    =
    44.85°
  • (iii)
    x
    =
    60.98°
    ,
    y
    =
    47.85°
  • (iv)
    x
    =
    59.98°
    ,
    y
    =
    46.85°
  • (v)
    x
    =
    61.98°
    ,
    y
    =
    48.85°
Question 17
17.
In the given figure, △CDE in which ∠D = 52° and ∠E = 52°. CF and DE bisects each other. Find the value of z
  • (i)
    z
    =
    78°
  • (ii)
    z
    =
    75°
  • (iii)
    z
    =
    77°
  • (iv)
    z
    =
    74°
  • (v)
    z
    =
    76°
Question 18
18.
In the given figure, FG ∥ HI and FH = HJ. Find the values of x,y and z.
  • (i)
    x
    =
    38°
    ,
    y
    =
    68°
    ,
    z
    =
    42°
  • (ii)
    x
    =
    36°
    ,
    y
    =
    72°
    ,
    z
    =
    40°
  • (iii)
    x
    =
    38°
    ,
    y
    =
    70°
    ,
    z
    =
    40°
  • (iv)
    x
    =
    36°
    ,
    y
    =
    70°
    ,
    z
    =
    42°
  • (v)
    x
    =
    40°
    ,
    y
    =
    70°
    ,
    z
    =
    38°
Question 19
19.
In the given figure, if DG = HD, find the values of x , y , z and t
  • (i)
    x =57.76°, y =28.77°, z =26.95° , t =118.88°
  • (ii)
    x =57.76°, y =26.77°, z =23.95° , t =117.88°
  • (iii)
    x =57.76°, y =26.77°, z =24.95° , t =118.88°
  • (iv)
    x =57.76°, y =26.77°, z =25.95° , t =119.88°
  • (v)
    x =57.76°, y =24.77°, z =22.95° , t =118.88°
Question 20
20.
In the following figure EF ∥ HG, find the values of x and y.
  • (i)
    x
    =
    31°
    ,
    y
    =
    121°
  • (ii)
    x
    =
    28°
    ,
    y
    =
    118°
  • (iii)
    x
    =
    29°
    ,
    y
    =
    119°
  • (iv)
    x
    =
    30°
    ,
    y
    =
    120°
  • (v)
    x
    =
    32°
    ,
    y
    =
    122°
Question 21
21.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    35°
    ,
    y
    =
    37°
    ,
    z
    =
    72°
  • (ii)
    x
    =
    37°
    ,
    y
    =
    35°
    ,
    z
    =
    72°
  • (iii)
    x
    =
    37°
    ,
    y
    =
    33°
    ,
    z
    =
    74°
  • (iv)
    x
    =
    39°
    ,
    y
    =
    35°
    ,
    z
    =
    70°
  • (v)
    x
    =
    35°
    ,
    y
    =
    35°
    ,
    z
    =
    74°
Question 22
22.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    84°
    ,
    y
    =
    56°
    ,
    z
    =
    66°
  • (ii)
    x
    =
    80°
    ,
    y
    =
    58°
    ,
    z
    =
    68°
  • (iii)
    x
    =
    80°
    ,
    y
    =
    56°
    ,
    z
    =
    70°
  • (iv)
    x
    =
    82°
    ,
    y
    =
    54°
    ,
    z
    =
    70°
  • (v)
    x
    =
    82°
    ,
    y
    =
    56°
    ,
    z
    =
    68°
Question 23
23.
In the given two equilateral triangles, find ∠A + ∠C + ∠E + ∠B + ∠D + ∠F .
  • (i)
    362°
  • (ii)
    361°
  • (iii)
    359°
  • (iv)
    358°
  • (v)
    360°
    Assignment Key
  •  1) (ii)
  •  2) (i)
  •  3) (v)
  •  4) (iii)
  •  5) (iii)
  •  6) (v)
  •  7) (iv)
  •  8) (ii)
  •  9) (v)
  •  10) (i)
  •  11) (v)
  •  12) (iii)
  •  13) (v)
  •  14) (v)
  •  15) (ii)
  •  16) (iv)
  •  17) (v)
  •  18) (iii)
  •  19) (iii)
  •  20) (iv)
  •  21) (ii)
  •  22) (v)
  •  23) (v)