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
    =
    54.91°
  • (ii)
    x
    =
    55.91°
  • (iii)
    x
    =
    57.91°
  • (iv)
    x
    =
    56.91°
  • (v)
    x
    =
    53.91°
Question 2
2.
Find the angles of the triangle
  • (i)
    H
    =
    47°
    ,
    I
    =
    54°
    ,
    J
    =
    79°
  • (ii)
    H
    =
    45°
    ,
    I
    =
    52°
    ,
    J
    =
    83°
  • (iii)
    H
    =
    43°
    ,
    I
    =
    56°
    ,
    J
    =
    81°
  • (iv)
    H
    =
    43°
    ,
    I
    =
    54°
    ,
    J
    =
    83°
  • (v)
    H
    =
    45°
    ,
    I
    =
    54°
    ,
    J
    =
    81°
Question 3
3.
Calculate the value of x in the following figure
  • (i)
    x
    =
    105.5°
  • (ii)
    x
    =
    104.5°
  • (iii)
    x
    =
    101.5°
  • (iv)
    x
    =
    103.5°
  • (v)
    x
    =
    102.5°
Question 4
4.
    • Find the unknown angles in the following figure
  • (i)
    I
    =
    40°
    ,
    J
    =
    40°
  • (ii)
    I
    =
    38°
    ,
    J
    =
    38°
  • (iii)
    I
    =
    42°
    ,
    J
    =
    42°
  • (iv)
    I
    =
    41°
    ,
    J
    =
    41°
  • (v)
    I
    =
    39°
    ,
    J
    =
    39°
Question 5
5.
In the given triangle, ∠E = 82.46°. Find the measure of ∠F and ∠G
  • (i)
    ∠F = ∠G = 50.77°
  • (ii)
    ∠F = ∠G = 47.77°
  • (iii)
    ∠F = ∠G = 49.77°
  • (iv)
    ∠F = ∠G = 46.77°
  • (v)
    ∠F = ∠G = 48.77°
Question 6
6.
Find the unknown angle in the following figure
  • (i)
    x
    =
    43.27°
  • (ii)
    x
    =
    44.27°
  • (iii)
    x
    =
    41.27°
  • (iv)
    x
    =
    42.27°
  • (v)
    x
    =
    45.27°
Question 7
7.
Find the unknown angle in the following figure
  • (i)
    x
    =
    92°
  • (ii)
    x
    =
    89°
  • (iii)
    x
    =
    91°
  • (iv)
    x
    =
    88°
  • (v)
    x
    =
    90°
Question 8
8.
In the given figure , if KH ⟂ IJ and ∠HIK = 60.21°, find ∠KHI
  • (i)
    27.79°
  • (ii)
    30.79°
  • (iii)
    29.79°
  • (iv)
    28.79°
  • (v)
    31.79°
Question 9
9.
In the given figure , if LI ⟂ JK and ∠IJL = 60.21°, find ∠KIL
  • (i)
    16.96°
  • (ii)
    18.96°
  • (iii)
    17.96°
  • (iv)
    20.96°
  • (v)
    19.96°
Question 10
10.
In the given figure , if IF ⟂ GH and ∠FGI = 42.82°, find ∠IHF
  • (i)
    57.08°
  • (ii)
    55.08°
  • (iii)
    58.08°
  • (iv)
    56.08°
  • (v)
    59.08°
Question 11
11.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    68.33°
  • (ii)
    x
    =
    70.33°
  • (iii)
    x
    =
    69.33°
  • (iv)
    x
    =
    66.33°
  • (v)
    x
    =
    67.33°
Question 12
12.
Find the value of x in the given figure.
  • (i)
    x
    =
    32°
  • (ii)
    x
    =
    29°
  • (iii)
    x
    =
    28°
  • (iv)
    x
    =
    31°
  • (v)
    x
    =
    30°
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)
    119°
  • (ii)
    121°
  • (iii)
    120°
  • (iv)
    118°
  • (v)
    122°
Question 14
14.
    • In the given figure, △EFG is a triangle in which ∠F = 55.2° and ∠G = 50.29°.
    • If 'z' is the angle between the bisector of ∠F and ∠G, then find z.
  • (i)
    127.26°
  • (ii)
    126.26°
  • (iii)
    128.26°
  • (iv)
    125.26°
  • (v)
    129.26°
Question 15
15.
    • In the given figure, ∠L = 50.5° and ∠M = 61.3°.
    • 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
    =
    34.1°
    ,
    y
    =
    55.9°
  • (ii)
    x
    =
    33.1°
    ,
    y
    =
    54.9°
  • (iii)
    x
    =
    36.1°
    ,
    y
    =
    57.9°
  • (iv)
    x
    =
    32.1°
    ,
    y
    =
    53.9°
  • (v)
    x
    =
    35.1°
    ,
    y
    =
    56.9°
Question 16
16.
In the given figure, find the values of x and y
  • (i)
    x
    =
    48.16°
    ,
    y
    =
    49.98°
  • (ii)
    x
    =
    47.16°
    ,
    y
    =
    48.98°
  • (iii)
    x
    =
    45.16°
    ,
    y
    =
    46.98°
  • (iv)
    x
    =
    44.16°
    ,
    y
    =
    45.98°
  • (v)
    x
    =
    46.16°
    ,
    y
    =
    47.98°
Question 17
17.
In the given figure, △HIJ in which ∠I = 53.21° and ∠J = 58.88°. HK and IJ bisects each other. Find the value of z
  • (i)
    z
    =
    66.91°
  • (ii)
    z
    =
    69.91°
  • (iii)
    z
    =
    65.91°
  • (iv)
    z
    =
    68.91°
  • (v)
    z
    =
    67.91°
Question 18
18.
In the given figure, FG ∥ HI and FH = HJ. Find the values of x,y and z.
  • (i)
    x
    =
    40°
    ,
    y
    =
    73°
    ,
    z
    =
    32°
  • (ii)
    x
    =
    36°
    ,
    y
    =
    73°
    ,
    z
    =
    36°
  • (iii)
    x
    =
    38°
    ,
    y
    =
    71°
    ,
    z
    =
    36°
  • (iv)
    x
    =
    38°
    ,
    y
    =
    73°
    ,
    z
    =
    34°
  • (v)
    x
    =
    36°
    ,
    y
    =
    75°
    ,
    z
    =
    34°
Question 19
19.
In the given figure, if BE = FB, find the values of x , y , z and t
  • (i)
    x =69.06°, y =26.01°, z =24.36° , t =123.53°
  • (ii)
    x =69.06°, y =26.01°, z =25.36° , t =124.53°
  • (iii)
    x =69.06°, y =26.01°, z =26.36° , t =125.53°
  • (iv)
    x =69.06°, y =24.01°, z =23.36° , t =124.53°
  • (v)
    x =69.06°, y =28.01°, z =27.36° , t =124.53°
Question 20
20.
In the following figure AB ∥ DC, find the values of x and y.
  • (i)
    x
    =
    29°
    ,
    y
    =
    119°
  • (ii)
    x
    =
    28°
    ,
    y
    =
    118°
  • (iii)
    x
    =
    30°
    ,
    y
    =
    120°
  • (iv)
    x
    =
    31°
    ,
    y
    =
    121°
  • (v)
    x
    =
    32°
    ,
    y
    =
    122°
Question 21
21.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    52°
    ,
    y
    =
    34°
    ,
    z
    =
    86°
  • (ii)
    x
    =
    52°
    ,
    y
    =
    32°
    ,
    z
    =
    88°
  • (iii)
    x
    =
    50°
    ,
    y
    =
    34°
    ,
    z
    =
    88°
  • (iv)
    x
    =
    54°
    ,
    y
    =
    34°
    ,
    z
    =
    84°
  • (v)
    x
    =
    50°
    ,
    y
    =
    36°
    ,
    z
    =
    86°
Question 22
22.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    88°
    ,
    y
    =
    66°
    ,
    z
    =
    52°
  • (ii)
    x
    =
    88°
    ,
    y
    =
    64°
    ,
    z
    =
    54°
  • (iii)
    x
    =
    90°
    ,
    y
    =
    62°
    ,
    z
    =
    54°
  • (iv)
    x
    =
    90°
    ,
    y
    =
    64°
    ,
    z
    =
    52°
  • (v)
    x
    =
    92°
    ,
    y
    =
    64°
    ,
    z
    =
    50°
Question 23
23.
In the given two equilateral triangles, find ∠K + ∠M + ∠O + ∠L + ∠N + ∠P .
  • (i)
    362°
  • (ii)
    359°
  • (iii)
    358°
  • (iv)
    361°
  • (v)
    360°
    Assignment Key
  •  1) (ii)
  •  2) (v)
  •  3) (iv)
  •  4) (i)
  •  5) (v)
  •  6) (i)
  •  7) (v)
  •  8) (iii)
  •  9) (ii)
  •  10) (i)
  •  11) (i)
  •  12) (v)
  •  13) (iii)
  •  14) (i)
  •  15) (i)
  •  16) (v)
  •  17) (v)
  •  18) (iv)
  •  19) (ii)
  •  20) (iii)
  •  21) (i)
  •  22) (iv)
  •  23) (v)