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
    =
    49.34°
  • (ii)
    x
    =
    50.34°
  • (iii)
    x
    =
    51.34°
  • (iv)
    x
    =
    53.34°
  • (v)
    x
    =
    52.34°
Question 2
2.
Find the angles of the triangle
  • (i)
    J
    =
    36°
    ,
    K
    =
    52°
    ,
    L
    =
    92°
  • (ii)
    J
    =
    38°
    ,
    K
    =
    54°
    ,
    L
    =
    88°
  • (iii)
    J
    =
    36°
    ,
    K
    =
    54°
    ,
    L
    =
    90°
  • (iv)
    J
    =
    34°
    ,
    K
    =
    56°
    ,
    L
    =
    90°
  • (v)
    J
    =
    34°
    ,
    K
    =
    54°
    ,
    L
    =
    92°
Question 3
3.
Calculate the value of x in the following figure
  • (i)
    x
    =
    52.8°
  • (ii)
    x
    =
    49.8°
  • (iii)
    x
    =
    51.8°
  • (iv)
    x
    =
    53.8°
  • (v)
    x
    =
    50.8°
Question 4
4.
    • Find the unknown angles in the following figure
  • (i)
    I
    =
    56°
    ,
    J
    =
    56°
  • (ii)
    I
    =
    54°
    ,
    J
    =
    54°
  • (iii)
    I
    =
    55°
    ,
    J
    =
    55°
  • (iv)
    I
    =
    53°
    ,
    J
    =
    53°
  • (v)
    I
    =
    57°
    ,
    J
    =
    57°
Question 5
5.
In the given triangle, ∠I = 93.47°. Find the measure of ∠J and ∠K
  • (i)
    ∠J = ∠K = 43.27°
  • (ii)
    ∠J = ∠K = 41.27°
  • (iii)
    ∠J = ∠K = 45.27°
  • (iv)
    ∠J = ∠K = 42.27°
  • (v)
    ∠J = ∠K = 44.27°
Question 6
6.
Find the unknown angle in the following figure
  • (i)
    x
    =
    49.19°
  • (ii)
    x
    =
    52.19°
  • (iii)
    x
    =
    50.19°
  • (iv)
    x
    =
    48.19°
  • (v)
    x
    =
    51.19°
Question 7
7.
Find the unknown angle in the following figure
  • (i)
    x
    =
    43°
  • (ii)
    x
    =
    45°
  • (iii)
    x
    =
    46°
  • (iv)
    x
    =
    44°
  • (v)
    x
    =
    47°
Question 8
8.
In the given figure , if IF ⟂ GH and ∠FGI = 53.94°, find ∠IFG
  • (i)
    35.06°
  • (ii)
    36.06°
  • (iii)
    37.06°
  • (iv)
    34.06°
  • (v)
    38.06°
Question 9
9.
In the given figure , if EB ⟂ CD and ∠BCE = 42.82°, find ∠DBE
  • (i)
    31.92°
  • (ii)
    30.92°
  • (iii)
    32.92°
  • (iv)
    33.92°
  • (v)
    34.92°
Question 10
10.
In the given figure , if JG ⟂ HI and ∠GHJ = 43.63°, find ∠JIG
  • (i)
    55.82°
  • (ii)
    59.82°
  • (iii)
    58.82°
  • (iv)
    57.82°
  • (v)
    56.82°
Question 11
11.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    67.67°
  • (ii)
    x
    =
    68.67°
  • (iii)
    x
    =
    66.67°
  • (iv)
    x
    =
    65.67°
  • (v)
    x
    =
    69.67°
Question 12
12.
Find the value of x in the given figure.
  • (i)
    x
    =
    16°
  • (ii)
    x
    =
    19°
  • (iii)
    x
    =
    17°
  • (iv)
    x
    =
    20°
  • (v)
    x
    =
    18°
Question 13
13.
    • In the given figure,
    • △FGH
    • is a triangle in which
    • ∠F
    • =
    • ∠G
    • =
    • ∠H
    • .
    • This bisectors of
    • ∠G
    • and
    • ∠H
    • intersect at
    • I
    • .
    • Find
    • ∠I
    • =
  • (i)
    119°
  • (ii)
    121°
  • (iii)
    118°
  • (iv)
    122°
  • (v)
    120°
Question 14
14.
    • In the given figure, △GHI is a triangle in which ∠H = 54.14° and ∠I = 70.13°.
    • If 'z' is the angle between the bisector of ∠H and ∠I, then find z.
  • (i)
    119.87°
  • (ii)
    118.87°
  • (iii)
    117.87°
  • (iv)
    115.87°
  • (v)
    116.87°
Question 15
15.
    • In the given figure, ∠E = 62.79° and ∠F = 55.77°.
    • Side FG is produced to H, so that ∠FGE  and ∠EGH form a linear pair.
    • If
    • ⟶
      GI
    • and
    • ⟶
      GJ
    • are the bisectors of
    • ∠FGE
    • and
    • ∠EGH
    • , find x and y.
  • (i)
    x
    =
    29.72°
    ,
    y
    =
    58.28°
  • (ii)
    x
    =
    30.72°
    ,
    y
    =
    59.28°
  • (iii)
    x
    =
    32.72°
    ,
    y
    =
    61.28°
  • (iv)
    x
    =
    31.72°
    ,
    y
    =
    60.28°
  • (v)
    x
    =
    28.72°
    ,
    y
    =
    57.28°
Question 16
16.
In the given figure, find the values of x and y
  • (i)
    x
    =
    60.15°
    ,
    y
    =
    49.38°
  • (ii)
    x
    =
    63.15°
    ,
    y
    =
    52.38°
  • (iii)
    x
    =
    59.15°
    ,
    y
    =
    48.38°
  • (iv)
    x
    =
    61.15°
    ,
    y
    =
    50.38°
  • (v)
    x
    =
    62.15°
    ,
    y
    =
    51.38°
Question 17
17.
In the given figure, △EFG in which ∠F = 63.08° and ∠G = 57.13°. EH and FG bisects each other. Find the value of z
  • (i)
    z
    =
    61.79°
  • (ii)
    z
    =
    60.79°
  • (iii)
    z
    =
    59.79°
  • (iv)
    z
    =
    58.79°
  • (v)
    z
    =
    57.79°
Question 18
18.
In the given figure, GH ∥ IJ and GI = IK. Find the values of x,y and z.
  • (i)
    x
    =
    37°
    ,
    y
    =
    67°
    ,
    z
    =
    46°
  • (ii)
    x
    =
    39°
    ,
    y
    =
    67°
    ,
    z
    =
    44°
  • (iii)
    x
    =
    35°
    ,
    y
    =
    69°
    ,
    z
    =
    46°
  • (iv)
    x
    =
    35°
    ,
    y
    =
    67°
    ,
    z
    =
    48°
  • (v)
    x
    =
    37°
    ,
    y
    =
    65°
    ,
    z
    =
    48°
Question 19
19.
In the given figure, if MP = QM, find the values of x , y , z and t
  • (i)
    x =67.62°, y =28.94°, z =28.19° , t =123.81°
  • (ii)
    x =67.62°, y =26.94°, z =27.19° , t =124.81°
  • (iii)
    x =67.62°, y =26.94°, z =25.19° , t =122.81°
  • (iv)
    x =67.62°, y =24.94°, z =24.19° , t =123.81°
  • (v)
    x =67.62°, y =26.94°, z =26.19° , t =123.81°
Question 20
20.
In the following figure EF ∥ HG, find the values of x and y.
  • (i)
    x
    =
    24°
    ,
    y
    =
    132°
  • (ii)
    x
    =
    26°
    ,
    y
    =
    134°
  • (iii)
    x
    =
    25°
    ,
    y
    =
    133°
  • (iv)
    x
    =
    22°
    ,
    y
    =
    130°
  • (v)
    x
    =
    23°
    ,
    y
    =
    131°
Question 21
21.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    26°
    ,
    y
    =
    40°
    ,
    z
    =
    66°
  • (ii)
    x
    =
    30°
    ,
    y
    =
    38°
    ,
    z
    =
    64°
  • (iii)
    x
    =
    28°
    ,
    y
    =
    38°
    ,
    z
    =
    66°
  • (iv)
    x
    =
    28°
    ,
    y
    =
    36°
    ,
    z
    =
    68°
  • (v)
    x
    =
    26°
    ,
    y
    =
    38°
    ,
    z
    =
    68°
Question 22
22.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    84°
    ,
    y
    =
    63°
    ,
    z
    =
    58°
  • (ii)
    x
    =
    86°
    ,
    y
    =
    61°
    ,
    z
    =
    58°
  • (iii)
    x
    =
    84°
    ,
    y
    =
    61°
    ,
    z
    =
    60°
  • (iv)
    x
    =
    86°
    ,
    y
    =
    59°
    ,
    z
    =
    60°
  • (v)
    x
    =
    88°
    ,
    y
    =
    61°
    ,
    z
    =
    56°
Question 23
23.
In the given two equilateral triangles, find ∠C + ∠E + ∠G + ∠D + ∠F + ∠H .
  • (i)
    359°
  • (ii)
    361°
  • (iii)
    362°
  • (iv)
    360°
  • (v)
    358°
    Assignment Key
  •  1) (iii)
  •  2) (iii)
  •  3) (iii)
  •  4) (iii)
  •  5) (i)
  •  6) (iii)
  •  7) (ii)
  •  8) (ii)
  •  9) (iii)
  •  10) (iv)
  •  11) (i)
  •  12) (v)
  •  13) (v)
  •  14) (iii)
  •  15) (ii)
  •  16) (iv)
  •  17) (iii)
  •  18) (i)
  •  19) (v)
  •  20) (i)
  •  21) (iii)
  •  22) (ii)
  •  23) (iv)