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
    =
    67.82°
  • (ii)
    x
    =
    66.82°
  • (iii)
    x
    =
    63.82°
  • (iv)
    x
    =
    65.82°
  • (v)
    x
    =
    64.82°
Question 2
2.
Find the angles of the triangle
  • (i)
    E
    =
    60°
    ,
    F
    =
    43°
    ,
    G
    =
    77°
  • (ii)
    E
    =
    60°
    ,
    F
    =
    45°
    ,
    G
    =
    75°
  • (iii)
    E
    =
    58°
    ,
    F
    =
    45°
    ,
    G
    =
    77°
  • (iv)
    E
    =
    58°
    ,
    F
    =
    47°
    ,
    G
    =
    75°
  • (v)
    E
    =
    62°
    ,
    F
    =
    45°
    ,
    G
    =
    73°
Question 3
3.
Calculate the value of x in the following figure
  • (i)
    x
    =
    74.9°
  • (ii)
    x
    =
    73.9°
  • (iii)
    x
    =
    75.9°
  • (iv)
    x
    =
    71.9°
  • (v)
    x
    =
    72.9°
Question 4
4.
    • Find the unknown angles in the following figure
  • (i)
    B
    =
    61°
    ,
    C
    =
    61°
  • (ii)
    B
    =
    62°
    ,
    C
    =
    62°
  • (iii)
    B
    =
    60°
    ,
    C
    =
    60°
  • (iv)
    B
    =
    59°
    ,
    C
    =
    59°
  • (v)
    B
    =
    58°
    ,
    C
    =
    58°
Question 5
5.
In the given triangle, ∠J = 82.46°. Find the measure of ∠K and ∠L
  • (i)
    ∠K = ∠L = 47.77°
  • (ii)
    ∠K = ∠L = 48.77°
  • (iii)
    ∠K = ∠L = 49.77°
  • (iv)
    ∠K = ∠L = 46.77°
  • (v)
    ∠K = ∠L = 50.77°
Question 6
6.
Find the unknown angle in the following figure
  • (i)
    x
    =
    63.56°
  • (ii)
    x
    =
    67.56°
  • (iii)
    x
    =
    64.56°
  • (iv)
    x
    =
    65.56°
  • (v)
    x
    =
    66.56°
Question 7
7.
Find the unknown angle in the following figure
  • (i)
    x
    =
    43°
  • (ii)
    x
    =
    44°
  • (iii)
    x
    =
    47°
  • (iv)
    x
    =
    46°
  • (v)
    x
    =
    45°
Question 8
8.
In the given figure , if JG ⟂ HI and ∠GHJ = 57.23°, find ∠JGH
  • (i)
    30.77°
  • (ii)
    34.77°
  • (iii)
    33.77°
  • (iv)
    32.77°
  • (v)
    31.77°
Question 9
9.
In the given figure , if KH ⟂ IJ and ∠HIK = 47.2°, find ∠JHK
  • (i)
    27.05°
  • (ii)
    30.05°
  • (iii)
    29.05°
  • (iv)
    31.05°
  • (v)
    28.05°
Question 10
10.
In the given figure , if KH ⟂ IJ and ∠HIK = 57.99°, find ∠KJH
  • (i)
    69.44°
  • (ii)
    70.44°
  • (iii)
    71.44°
  • (iv)
    68.44°
  • (v)
    67.44°
Question 11
11.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    71.21°
  • (ii)
    x
    =
    67.21°
  • (iii)
    x
    =
    70.21°
  • (iv)
    x
    =
    68.21°
  • (v)
    x
    =
    69.21°
Question 12
12.
Find the value of x in the given figure.
  • (i)
    x
    =
    27°
  • (ii)
    x
    =
    25°
  • (iii)
    x
    =
    26°
  • (iv)
    x
    =
    24°
  • (v)
    x
    =
    23°
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)
    119°
  • (ii)
    118°
  • (iii)
    122°
  • (iv)
    121°
  • (v)
    120°
Question 14
14.
    • In the given figure, △FGH is a triangle in which ∠G = 42.27° and ∠H = 68.2°.
    • If 'z' is the angle between the bisector of ∠G and ∠H, then find z.
  • (i)
    123.76°
  • (ii)
    124.76°
  • (iii)
    126.76°
  • (iv)
    122.76°
  • (v)
    125.76°
Question 15
15.
    • In the given figure, ∠C = 56.88° and ∠D = 57.28°.
    • Side DE is produced to F, so that ∠DEC  and ∠CEF form a linear pair.
    • If
    • ⟶
      EG
    • and
    • ⟶
      EH
    • are the bisectors of
    • ∠DEC
    • and
    • ∠CEF
    • , find x and y.
  • (i)
    x
    =
    34.92°
    ,
    y
    =
    59.08°
  • (ii)
    x
    =
    30.92°
    ,
    y
    =
    55.08°
  • (iii)
    x
    =
    31.92°
    ,
    y
    =
    56.08°
  • (iv)
    x
    =
    32.92°
    ,
    y
    =
    57.08°
  • (v)
    x
    =
    33.92°
    ,
    y
    =
    58.08°
Question 16
16.
In the given figure, find the values of x and y
  • (i)
    x
    =
    70.29°
    ,
    y
    =
    49°
  • (ii)
    x
    =
    69.29°
    ,
    y
    =
    48°
  • (iii)
    x
    =
    66.29°
    ,
    y
    =
    45°
  • (iv)
    x
    =
    68.29°
    ,
    y
    =
    47°
  • (v)
    x
    =
    67.29°
    ,
    y
    =
    46°
Question 17
17.
In the given figure, △EFG in which ∠F = 65.23° and ∠G = 55.3°. EH and FG bisects each other. Find the value of z
  • (i)
    z
    =
    59.47°
  • (ii)
    z
    =
    58.47°
  • (iii)
    z
    =
    60.47°
  • (iv)
    z
    =
    57.47°
  • (v)
    z
    =
    61.47°
Question 18
18.
In the given figure, IJ ∥ KL and IK = KM. Find the values of x,y and z.
  • (i)
    x
    =
    33°
    ,
    y
    =
    63°
    ,
    z
    =
    52°
  • (ii)
    x
    =
    31°
    ,
    y
    =
    67°
    ,
    z
    =
    50°
  • (iii)
    x
    =
    35°
    ,
    y
    =
    65°
    ,
    z
    =
    48°
  • (iv)
    x
    =
    33°
    ,
    y
    =
    65°
    ,
    z
    =
    50°
  • (v)
    x
    =
    31°
    ,
    y
    =
    65°
    ,
    z
    =
    52°
Question 19
19.
In the given figure, if BE = FB, find the values of x , y , z and t
  • (i)
    x =52.22°, y =25.91°, z =25.2° , t =116.11°
  • (ii)
    x =52.22°, y =25.91°, z =26.2° , t =117.11°
  • (iii)
    x =52.22°, y =25.91°, z =24.2° , t =115.11°
  • (iv)
    x =52.22°, y =23.91°, z =23.2° , t =116.11°
  • (v)
    x =52.22°, y =27.91°, z =27.2° , t =116.11°
Question 20
20.
In the following figure GH ∥ JI, find the values of x and y.
  • (i)
    x
    =
    52°
    ,
    y
    =
    76°
  • (ii)
    x
    =
    53°
    ,
    y
    =
    77°
  • (iii)
    x
    =
    54°
    ,
    y
    =
    78°
  • (iv)
    x
    =
    50°
    ,
    y
    =
    74°
  • (v)
    x
    =
    51°
    ,
    y
    =
    75°
Question 21
21.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    59°
    ,
    y
    =
    39°
    ,
    z
    =
    102°
  • (ii)
    x
    =
    61°
    ,
    y
    =
    37°
    ,
    z
    =
    102°
  • (iii)
    x
    =
    61°
    ,
    y
    =
    39°
    ,
    z
    =
    100°
  • (iv)
    x
    =
    59°
    ,
    y
    =
    41°
    ,
    z
    =
    100°
  • (v)
    x
    =
    63°
    ,
    y
    =
    39°
    ,
    z
    =
    98°
Question 22
22.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    78°
    ,
    y
    =
    61°
    ,
    z
    =
    60°
  • (ii)
    x
    =
    80°
    ,
    y
    =
    59°
    ,
    z
    =
    60°
  • (iii)
    x
    =
    80°
    ,
    y
    =
    61°
    ,
    z
    =
    58°
  • (iv)
    x
    =
    78°
    ,
    y
    =
    63°
    ,
    z
    =
    58°
  • (v)
    x
    =
    82°
    ,
    y
    =
    61°
    ,
    z
    =
    56°
Question 23
23.
In the given two equilateral triangles, find ∠M + ∠O + ∠Q + ∠N + ∠P + ∠R .
  • (i)
    360°
  • (ii)
    358°
  • (iii)
    361°
  • (iv)
    362°
  • (v)
    359°
    Assignment Key
  •  1) (iv)
  •  2) (ii)
  •  3) (ii)
  •  4) (iii)
  •  5) (ii)
  •  6) (iv)
  •  7) (v)
  •  8) (iv)
  •  9) (iii)
  •  10) (i)
  •  11) (v)
  •  12) (ii)
  •  13) (v)
  •  14) (ii)
  •  15) (iv)
  •  16) (iv)
  •  17) (i)
  •  18) (iv)
  •  19) (i)
  •  20) (i)
  •  21) (iii)
  •  22) (iii)
  •  23) (i)