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
    =
    52.81°
  • (ii)
    x
    =
    50.81°
  • (iii)
    x
    =
    49.81°
  • (iv)
    x
    =
    51.81°
  • (v)
    x
    =
    53.81°
Question 2
2.
Find the angles of the triangle
  • (i)
    D
    =
    58°
    ,
    E
    =
    45°
    ,
    F
    =
    77°
  • (ii)
    D
    =
    60°
    ,
    E
    =
    43°
    ,
    F
    =
    77°
  • (iii)
    D
    =
    62°
    ,
    E
    =
    45°
    ,
    F
    =
    73°
  • (iv)
    D
    =
    60°
    ,
    E
    =
    45°
    ,
    F
    =
    75°
  • (v)
    D
    =
    58°
    ,
    E
    =
    47°
    ,
    F
    =
    75°
Question 3
3.
Calculate the value of x in the following figure
  • (i)
    x
    =
    40.92°
  • (ii)
    x
    =
    38.92°
  • (iii)
    x
    =
    37.92°
  • (iv)
    x
    =
    39.92°
  • (v)
    x
    =
    41.92°
Question 4
4.
    • Find the unknown angles in the following figure
  • (i)
    I
    =
    57°
    ,
    J
    =
    57°
  • (ii)
    I
    =
    56°
    ,
    J
    =
    56°
  • (iii)
    I
    =
    58°
    ,
    J
    =
    58°
  • (iv)
    I
    =
    60°
    ,
    J
    =
    60°
  • (v)
    I
    =
    59°
    ,
    J
    =
    59°
Question 5
5.
In the given triangle, ∠D = 92.06°. Find the measure of ∠E and ∠F
  • (i)
    ∠E = ∠F = 42.97°
  • (ii)
    ∠E = ∠F = 43.97°
  • (iii)
    ∠E = ∠F = 41.97°
  • (iv)
    ∠E = ∠F = 45.97°
  • (v)
    ∠E = ∠F = 44.97°
Question 6
6.
Find the unknown angle in the following figure
  • (i)
    x
    =
    89°
  • (ii)
    x
    =
    91°
  • (iii)
    x
    =
    88°
  • (iv)
    x
    =
    92°
  • (v)
    x
    =
    90°
Question 7
7.
Find the unknown angle in the following figure
  • (i)
    x
    =
    88°
  • (ii)
    x
    =
    91°
  • (iii)
    x
    =
    89°
  • (iv)
    x
    =
    90°
  • (v)
    x
    =
    92°
Question 8
8.
In the given figure , if KH ⟂ IJ and ∠HIK = 57.23°, find ∠KHI
  • (i)
    30.77°
  • (ii)
    33.77°
  • (iii)
    34.77°
  • (iv)
    32.77°
  • (v)
    31.77°
Question 9
9.
In the given figure , if HE ⟂ FG and ∠EFH = 56.07°, find ∠GEH
  • (i)
    19.98°
  • (ii)
    20.98°
  • (iii)
    22.98°
  • (iv)
    23.98°
  • (v)
    21.98°
Question 10
10.
In the given figure , if FC ⟂ DE and ∠CDF = 52°, find ∠FEC
  • (i)
    66.88°
  • (ii)
    63.88°
  • (iii)
    65.88°
  • (iv)
    64.88°
  • (v)
    62.88°
Question 11
11.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    67.69°
  • (ii)
    x
    =
    68.69°
  • (iii)
    x
    =
    65.69°
  • (iv)
    x
    =
    66.69°
  • (v)
    x
    =
    69.69°
Question 12
12.
Find the value of x in the given figure.
  • (i)
    x
    =
    23°
  • (ii)
    x
    =
    25°
  • (iii)
    x
    =
    27°
  • (iv)
    x
    =
    24°
  • (v)
    x
    =
    26°
Question 13
13.
    • In the given figure,
    • △HIJ
    • is a triangle in which
    • ∠H
    • =
    • ∠I
    • =
    • ∠J
    • .
    • This bisectors of
    • ∠I
    • and
    • ∠J
    • intersect at
    • K
    • .
    • Find
    • ∠K
    • =
  • (i)
    121°
  • (ii)
    120°
  • (iii)
    118°
  • (iv)
    119°
  • (v)
    122°
Question 14
14.
    • In the given figure, △HIJ is a triangle in which ∠I = 55.87° and ∠J = 51°.
    • If 'z' is the angle between the bisector of ∠I and ∠J, then find z.
  • (i)
    126.56°
  • (ii)
    128.56°
  • (iii)
    127.56°
  • (iv)
    125.56°
  • (v)
    124.56°
Question 15
15.
    • In the given figure, ∠L = 75.13° and ∠M = 53.05°.
    • 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
    =
    24.91°
    ,
    y
    =
    63.09°
  • (ii)
    x
    =
    23.91°
    ,
    y
    =
    62.09°
  • (iii)
    x
    =
    26.91°
    ,
    y
    =
    65.09°
  • (iv)
    x
    =
    25.91°
    ,
    y
    =
    64.09°
  • (v)
    x
    =
    27.91°
    ,
    y
    =
    66.09°
Question 16
16.
In the given figure, find the values of x and y
  • (i)
    x
    =
    65.06°
    ,
    y
    =
    48.76°
  • (ii)
    x
    =
    64.06°
    ,
    y
    =
    47.76°
  • (iii)
    x
    =
    62.06°
    ,
    y
    =
    45.76°
  • (iv)
    x
    =
    63.06°
    ,
    y
    =
    46.76°
  • (v)
    x
    =
    66.06°
    ,
    y
    =
    49.76°
Question 17
17.
In the given figure, △GHI in which ∠H = 62.99° and ∠I = 65.39°. GJ and HI bisects each other. Find the value of z
  • (i)
    z
    =
    49.62°
  • (ii)
    z
    =
    52.62°
  • (iii)
    z
    =
    53.62°
  • (iv)
    z
    =
    51.62°
  • (v)
    z
    =
    50.62°
Question 18
18.
In the given figure, BC ∥ DE and BD = DF. Find the values of x,y and z.
  • (i)
    x
    =
    34°
    ,
    y
    =
    73°
    ,
    z
    =
    38°
  • (ii)
    x
    =
    34°
    ,
    y
    =
    71°
    ,
    z
    =
    40°
  • (iii)
    x
    =
    36°
    ,
    y
    =
    71°
    ,
    z
    =
    38°
  • (iv)
    x
    =
    38°
    ,
    y
    =
    71°
    ,
    z
    =
    36°
  • (v)
    x
    =
    36°
    ,
    y
    =
    69°
    ,
    z
    =
    40°
Question 19
19.
In the given figure, if HK = LH, find the values of x , y , z and t
  • (i)
    x =43.5°, y =23.02°, z =22° , t =111.75°
  • (ii)
    x =43.5°, y =27.02°, z =26° , t =111.75°
  • (iii)
    x =43.5°, y =25.02°, z =23° , t =110.75°
  • (iv)
    x =43.5°, y =25.02°, z =25° , t =112.75°
  • (v)
    x =43.5°, y =25.02°, z =24° , t =111.75°
Question 20
20.
In the following figure EF ∥ HG, find the values of x and y.
  • (i)
    x
    =
    33°
    ,
    y
    =
    111°
  • (ii)
    x
    =
    34°
    ,
    y
    =
    112°
  • (iii)
    x
    =
    32°
    ,
    y
    =
    110°
  • (iv)
    x
    =
    35°
    ,
    y
    =
    113°
  • (v)
    x
    =
    36°
    ,
    y
    =
    114°
Question 21
21.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    57°
    ,
    y
    =
    41°
    ,
    z
    =
    98°
  • (ii)
    x
    =
    59°
    ,
    y
    =
    39°
    ,
    z
    =
    98°
  • (iii)
    x
    =
    59°
    ,
    y
    =
    37°
    ,
    z
    =
    100°
  • (iv)
    x
    =
    57°
    ,
    y
    =
    39°
    ,
    z
    =
    100°
  • (v)
    x
    =
    61°
    ,
    y
    =
    39°
    ,
    z
    =
    96°
Question 22
22.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    86°
    ,
    y
    =
    61°
    ,
    z
    =
    58°
  • (ii)
    x
    =
    84°
    ,
    y
    =
    61°
    ,
    z
    =
    60°
  • (iii)
    x
    =
    86°
    ,
    y
    =
    59°
    ,
    z
    =
    60°
  • (iv)
    x
    =
    84°
    ,
    y
    =
    63°
    ,
    z
    =
    58°
  • (v)
    x
    =
    88°
    ,
    y
    =
    61°
    ,
    z
    =
    56°
Question 23
23.
In the given two equilateral triangles, find ∠K + ∠M + ∠O + ∠L + ∠N + ∠P .
  • (i)
    359°
  • (ii)
    362°
  • (iii)
    361°
  • (iv)
    360°
  • (v)
    358°
    Assignment Key
  •  1) (iv)
  •  2) (iv)
  •  3) (iv)
  •  4) (iii)
  •  5) (ii)
  •  6) (v)
  •  7) (iv)
  •  8) (iv)
  •  9) (v)
  •  10) (iv)
  •  11) (i)
  •  12) (ii)
  •  13) (ii)
  •  14) (i)
  •  15) (iv)
  •  16) (ii)
  •  17) (iv)
  •  18) (iii)
  •  19) (v)
  •  20) (ii)
  •  21) (ii)
  •  22) (i)
  •  23) (iv)