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
    =
    59.23°
  • (ii)
    x
    =
    61.23°
  • (iii)
    x
    =
    62.23°
  • (iv)
    x
    =
    63.23°
  • (v)
    x
    =
    60.23°
Question 2
2.
Find the angles of the triangle
  • (i)
    F
    =
    60°
    ,
    G
    =
    45°
    ,
    H
    =
    75°
  • (ii)
    F
    =
    58°
    ,
    G
    =
    47°
    ,
    H
    =
    75°
  • (iii)
    F
    =
    60°
    ,
    G
    =
    43°
    ,
    H
    =
    77°
  • (iv)
    F
    =
    62°
    ,
    G
    =
    45°
    ,
    H
    =
    73°
  • (v)
    F
    =
    58°
    ,
    G
    =
    45°
    ,
    H
    =
    77°
Question 3
3.
Calculate the value of x in the following figure
  • (i)
    x
    =
    61.87°
  • (ii)
    x
    =
    60.87°
  • (iii)
    x
    =
    62.87°
  • (iv)
    x
    =
    63.87°
  • (v)
    x
    =
    59.87°
Question 4
4.
    • Find the unknown angles in the following figure
  • (i)
    E
    =
    50°
    ,
    F
    =
    50°
  • (ii)
    E
    =
    51°
    ,
    F
    =
    51°
  • (iii)
    E
    =
    53°
    ,
    F
    =
    53°
  • (iv)
    E
    =
    52°
    ,
    F
    =
    52°
  • (v)
    E
    =
    49°
    ,
    F
    =
    49°
Question 5
5.
In the given triangle, ∠F = 97.92°. Find the measure of ∠G and ∠H
  • (i)
    ∠G = ∠H = 42.04°
  • (ii)
    ∠G = ∠H = 39.04°
  • (iii)
    ∠G = ∠H = 43.04°
  • (iv)
    ∠G = ∠H = 41.04°
  • (v)
    ∠G = ∠H = 40.04°
Question 6
6.
Find the unknown angle in the following figure
  • (i)
    x
    =
    53.05°
  • (ii)
    x
    =
    52.05°
  • (iii)
    x
    =
    51.05°
  • (iv)
    x
    =
    55.05°
  • (v)
    x
    =
    54.05°
Question 7
7.
Find the unknown angle in the following figure
  • (i)
    x
    =
    46°
  • (ii)
    x
    =
    45°
  • (iii)
    x
    =
    47°
  • (iv)
    x
    =
    43°
  • (v)
    x
    =
    44°
Question 8
8.
In the given figure , if HE ⟂ FG and ∠EFH = 42.2°, find ∠HEF
  • (i)
    46.80°
  • (ii)
    49.80°
  • (iii)
    48.80°
  • (iv)
    47.80°
  • (v)
    45.80°
Question 9
9.
In the given figure , if EB ⟂ CD and ∠BCE = 46.31°, find ∠DBE
  • (i)
    28.82°
  • (ii)
    29.82°
  • (iii)
    30.82°
  • (iv)
    31.82°
  • (v)
    27.82°
Question 10
10.
In the given figure , if KH ⟂ IJ and ∠HIK = 52°, find ∠KJH
  • (i)
    62.88°
  • (ii)
    63.88°
  • (iii)
    66.88°
  • (iv)
    64.88°
  • (v)
    65.88°
Question 11
11.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    74.48°
  • (ii)
    x
    =
    72.48°
  • (iii)
    x
    =
    71.48°
  • (iv)
    x
    =
    73.48°
  • (v)
    x
    =
    70.48°
Question 12
12.
Find the value of x in the given figure.
  • (i)
    x
    =
    29°
  • (ii)
    x
    =
    28°
  • (iii)
    x
    =
    25°
  • (iv)
    x
    =
    26°
  • (v)
    x
    =
    27°
Question 13
13.
    • In the given figure,
    • △ABC
    • is a triangle in which
    • ∠A
    • =
    • ∠B
    • =
    • ∠C
    • .
    • This bisectors of
    • ∠B
    • and
    • ∠C
    • intersect at
    • D
    • .
    • Find
    • ∠D
    • =
  • (i)
    119°
  • (ii)
    121°
  • (iii)
    120°
  • (iv)
    122°
  • (v)
    118°
Question 14
14.
    • In the given figure, △HIJ is a triangle in which ∠I = 51.8° and ∠J = 61.77°.
    • If 'z' is the angle between the bisector of ∠I and ∠J, then find z.
  • (i)
    122.22°
  • (ii)
    123.22°
  • (iii)
    121.22°
  • (iv)
    124.22°
  • (v)
    125.22°
Question 15
15.
    • In the given figure, ∠L = 58.91° and ∠M = 55.89°.
    • 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
    =
    33.6°
    ,
    y
    =
    58.4°
  • (ii)
    x
    =
    30.6°
    ,
    y
    =
    55.4°
  • (iii)
    x
    =
    32.6°
    ,
    y
    =
    57.4°
  • (iv)
    x
    =
    31.6°
    ,
    y
    =
    56.4°
  • (v)
    x
    =
    34.6°
    ,
    y
    =
    59.4°
Question 16
16.
In the given figure, find the values of x and y
  • (i)
    x
    =
    43.93°
    ,
    y
    =
    46.15°
  • (ii)
    x
    =
    41.93°
    ,
    y
    =
    44.15°
  • (iii)
    x
    =
    45.93°
    ,
    y
    =
    48.15°
  • (iv)
    x
    =
    42.93°
    ,
    y
    =
    45.15°
  • (v)
    x
    =
    44.93°
    ,
    y
    =
    47.15°
Question 17
17.
In the given figure, △GHI in which ∠H = 54° and ∠I = 55.45°. GJ and HI bisects each other. Find the value of z
  • (i)
    z
    =
    71.55°
  • (ii)
    z
    =
    68.55°
  • (iii)
    z
    =
    72.55°
  • (iv)
    z
    =
    70.55°
  • (v)
    z
    =
    69.55°
Question 18
18.
In the given figure, DE ∥ FG and DF = FH. Find the values of x,y and z.
  • (i)
    x
    =
    35°
    ,
    y
    =
    71°
    ,
    z
    =
    38°
  • (ii)
    x
    =
    35°
    ,
    y
    =
    69°
    ,
    z
    =
    40°
  • (iii)
    x
    =
    33°
    ,
    y
    =
    73°
    ,
    z
    =
    38°
  • (iv)
    x
    =
    33°
    ,
    y
    =
    71°
    ,
    z
    =
    40°
  • (v)
    x
    =
    37°
    ,
    y
    =
    71°
    ,
    z
    =
    36°
Question 19
19.
In the given figure, if CF = GC, find the values of x , y , z and t
  • (i)
    x =65.32°, y =26.38°, z =25.72° , t =122.66°
  • (ii)
    x =65.32°, y =26.38°, z =26.72° , t =123.66°
  • (iii)
    x =65.32°, y =28.38°, z =27.72° , t =122.66°
  • (iv)
    x =65.32°, y =26.38°, z =24.72° , t =121.66°
  • (v)
    x =65.32°, y =24.38°, z =23.72° , t =122.66°
Question 20
20.
In the following figure EF ∥ HG, find the values of x and y.
  • (i)
    x
    =
    48°
    ,
    y
    =
    90°
  • (ii)
    x
    =
    44°
    ,
    y
    =
    86°
  • (iii)
    x
    =
    45°
    ,
    y
    =
    87°
  • (iv)
    x
    =
    46°
    ,
    y
    =
    88°
  • (v)
    x
    =
    47°
    ,
    y
    =
    89°
Question 21
21.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    62°
    ,
    y
    =
    28°
    ,
    z
    =
    94°
  • (ii)
    x
    =
    62°
    ,
    y
    =
    30°
    ,
    z
    =
    92°
  • (iii)
    x
    =
    60°
    ,
    y
    =
    30°
    ,
    z
    =
    94°
  • (iv)
    x
    =
    60°
    ,
    y
    =
    32°
    ,
    z
    =
    92°
  • (v)
    x
    =
    64°
    ,
    y
    =
    30°
    ,
    z
    =
    90°
Question 22
22.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    86°
    ,
    y
    =
    55°
    ,
    z
    =
    68°
  • (ii)
    x
    =
    84°
    ,
    y
    =
    53°
    ,
    z
    =
    72°
  • (iii)
    x
    =
    82°
    ,
    y
    =
    55°
    ,
    z
    =
    72°
  • (iv)
    x
    =
    84°
    ,
    y
    =
    55°
    ,
    z
    =
    70°
  • (v)
    x
    =
    82°
    ,
    y
    =
    57°
    ,
    z
    =
    70°
Question 23
23.
In the given two equilateral triangles, find ∠J + ∠L + ∠N + ∠K + ∠M + ∠O .
  • (i)
    362°
  • (ii)
    359°
  • (iii)
    361°
  • (iv)
    360°
  • (v)
    358°
    Assignment Key
  •  1) (ii)
  •  2) (i)
  •  3) (i)
  •  4) (ii)
  •  5) (iv)
  •  6) (i)
  •  7) (ii)
  •  8) (iv)
  •  9) (ii)
  •  10) (iv)
  •  11) (ii)
  •  12) (v)
  •  13) (iii)
  •  14) (ii)
  •  15) (iii)
  •  16) (i)
  •  17) (iv)
  •  18) (i)
  •  19) (i)
  •  20) (iv)
  •  21) (ii)
  •  22) (iv)
  •  23) (iv)