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
    =
    42.11°
  • (ii)
    x
    =
    40.11°
  • (iii)
    x
    =
    44.11°
  • (iv)
    x
    =
    41.11°
  • (v)
    x
    =
    43.11°
Question 2
2.
Find the angles of the triangle
  • (i)
    J
    =
    45°
    ,
    K
    =
    52°
    ,
    L
    =
    83°
  • (ii)
    J
    =
    43°
    ,
    K
    =
    56°
    ,
    L
    =
    81°
  • (iii)
    J
    =
    43°
    ,
    K
    =
    54°
    ,
    L
    =
    83°
  • (iv)
    J
    =
    45°
    ,
    K
    =
    54°
    ,
    L
    =
    81°
  • (v)
    J
    =
    47°
    ,
    K
    =
    54°
    ,
    L
    =
    79°
Question 3
3.
Calculate the value of x in the following figure
  • (i)
    x
    =
    53.13°
  • (ii)
    x
    =
    55.13°
  • (iii)
    x
    =
    57.13°
  • (iv)
    x
    =
    56.13°
  • (v)
    x
    =
    54.13°
Question 4
4.
    • Find the unknown angles in the following figure
  • (i)
    C
    =
    47°
    ,
    D
    =
    47°
  • (ii)
    C
    =
    45°
    ,
    D
    =
    45°
  • (iii)
    C
    =
    46°
    ,
    D
    =
    46°
  • (iv)
    C
    =
    43°
    ,
    D
    =
    43°
  • (v)
    C
    =
    44°
    ,
    D
    =
    44°
Question 5
5.
In the given triangle, ∠D = 86.1°. Find the measure of ∠E and ∠F
  • (i)
    ∠E = ∠F = 44.95°
  • (ii)
    ∠E = ∠F = 45.95°
  • (iii)
    ∠E = ∠F = 48.95°
  • (iv)
    ∠E = ∠F = 47.95°
  • (v)
    ∠E = ∠F = 46.95°
Question 6
6.
Find the unknown angle in the following figure
  • (i)
    x
    =
    64.02°
  • (ii)
    x
    =
    65.02°
  • (iii)
    x
    =
    61.02°
  • (iv)
    x
    =
    62.02°
  • (v)
    x
    =
    63.02°
Question 7
7.
Find the unknown angle in the following figure
  • (i)
    x
    =
    90°
  • (ii)
    x
    =
    88°
  • (iii)
    x
    =
    92°
  • (iv)
    x
    =
    89°
  • (v)
    x
    =
    91°
Question 8
8.
In the given figure , if HE ⟂ FG and ∠EFH = 48.74°, find ∠HEF
  • (i)
    42.26°
  • (ii)
    41.26°
  • (iii)
    40.26°
  • (iv)
    43.26°
  • (v)
    39.26°
Question 9
9.
In the given figure , if HE ⟂ FG and ∠EFH = 48.74°, find ∠GEH
  • (i)
    27.76°
  • (ii)
    29.76°
  • (iii)
    28.76°
  • (iv)
    25.76°
  • (v)
    26.76°
Question 10
10.
In the given figure , if LI ⟂ JK and ∠IJL = 55.35°, find ∠LKI
  • (i)
    67.47°
  • (ii)
    68.47°
  • (iii)
    66.47°
  • (iv)
    69.47°
  • (v)
    65.47°
Question 11
11.
In the given figure, calculate the value of x.
  • (i)
    x
    =
    68.97°
  • (ii)
    x
    =
    66.97°
  • (iii)
    x
    =
    69.97°
  • (iv)
    x
    =
    67.97°
  • (v)
    x
    =
    70.97°
Question 12
12.
Find the value of x in the given figure.
  • (i)
    x
    =
    25°
  • (ii)
    x
    =
    27°
  • (iii)
    x
    =
    28°
  • (iv)
    x
    =
    26°
  • (v)
    x
    =
    24°
Question 13
13.
    • In the given figure,
    • △CDE
    • is a triangle in which
    • ∠C
    • =
    • ∠D
    • =
    • ∠E
    • .
    • This bisectors of
    • ∠D
    • and
    • ∠E
    • intersect at
    • F
    • .
    • Find
    • ∠F
    • =
  • (i)
    121°
  • (ii)
    119°
  • (iii)
    122°
  • (iv)
    118°
  • (v)
    120°
Question 14
14.
    • In the given figure, △BCD is a triangle in which ∠C = 60.21° and ∠D = 48.68°.
    • If 'z' is the angle between the bisector of ∠C and ∠D, then find z.
  • (i)
    125.56°
  • (ii)
    124.56°
  • (iii)
    127.56°
  • (iv)
    123.56°
  • (v)
    126.56°
Question 15
15.
    • In the given figure, ∠H = 72.27° and ∠I = 55.99°.
    • Side IJ is produced to K, so that ∠IJH  and ∠HJK form a linear pair.
    • If
    • ⟶
      JL
    • and
    • ⟶
      JM
    • are the bisectors of
    • ∠IJH
    • and
    • ∠HJK
    • , find x and y.
  • (i)
    x
    =
    26.87°
    ,
    y
    =
    65.13°
  • (ii)
    x
    =
    25.87°
    ,
    y
    =
    64.13°
  • (iii)
    x
    =
    24.87°
    ,
    y
    =
    63.13°
  • (iv)
    x
    =
    23.87°
    ,
    y
    =
    62.13°
  • (v)
    x
    =
    27.87°
    ,
    y
    =
    66.13°
Question 16
16.
In the given figure, find the values of x and y
  • (i)
    x
    =
    51.73°
    ,
    y
    =
    50.2°
  • (ii)
    x
    =
    53.73°
    ,
    y
    =
    52.2°
  • (iii)
    x
    =
    52.73°
    ,
    y
    =
    51.2°
  • (iv)
    x
    =
    49.73°
    ,
    y
    =
    48.2°
  • (v)
    x
    =
    50.73°
    ,
    y
    =
    49.2°
Question 17
17.
In the given figure, △IJK in which ∠J = 58.69° and ∠K = 57.31°. IL and JK bisects each other. Find the value of z
  • (i)
    z
    =
    65°
  • (ii)
    z
    =
    66°
  • (iii)
    z
    =
    62°
  • (iv)
    z
    =
    64°
  • (v)
    z
    =
    63°
Question 18
18.
In the given figure, JK ∥ LM and JL = LN. Find the values of x,y and z.
  • (i)
    x
    =
    34°
    ,
    y
    =
    68°
    ,
    z
    =
    48°
  • (ii)
    x
    =
    34°
    ,
    y
    =
    66°
    ,
    z
    =
    50°
  • (iii)
    x
    =
    36°
    ,
    y
    =
    66°
    ,
    z
    =
    48°
  • (iv)
    x
    =
    36°
    ,
    y
    =
    64°
    ,
    z
    =
    50°
  • (v)
    x
    =
    38°
    ,
    y
    =
    66°
    ,
    z
    =
    46°
Question 19
19.
In the given figure, if BE = FB, find the values of x , y , z and t
  • (i)
    x =69.06°, y =25.76°, z =27.14° , t =125.53°
  • (ii)
    x =69.06°, y =23.76°, z =24.14° , t =124.53°
  • (iii)
    x =69.06°, y =25.76°, z =25.14° , t =123.53°
  • (iv)
    x =69.06°, y =25.76°, z =26.14° , t =124.53°
  • (v)
    x =69.06°, y =27.76°, z =28.14° , t =124.53°
Question 20
20.
In the following figure FG ∥ IH, find the values of x and y.
  • (i)
    x
    =
    27°
    ,
    y
    =
    123°
  • (ii)
    x
    =
    26°
    ,
    y
    =
    122°
  • (iii)
    x
    =
    30°
    ,
    y
    =
    126°
  • (iv)
    x
    =
    29°
    ,
    y
    =
    125°
  • (v)
    x
    =
    28°
    ,
    y
    =
    124°
Question 21
21.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    29°
    ,
    y
    =
    37°
    ,
    z
    =
    62°
  • (ii)
    x
    =
    27°
    ,
    y
    =
    37°
    ,
    z
    =
    64°
  • (iii)
    x
    =
    25°
    ,
    y
    =
    37°
    ,
    z
    =
    66°
  • (iv)
    x
    =
    25°
    ,
    y
    =
    39°
    ,
    z
    =
    64°
  • (v)
    x
    =
    27°
    ,
    y
    =
    35°
    ,
    z
    =
    66°
Question 22
22.
In the given figure, find the values of x ,y and z.
  • (i)
    x
    =
    86°
    ,
    y
    =
    54°
    ,
    z
    =
    74°
  • (ii)
    x
    =
    90°
    ,
    y
    =
    54°
    ,
    z
    =
    70°
  • (iii)
    x
    =
    86°
    ,
    y
    =
    56°
    ,
    z
    =
    72°
  • (iv)
    x
    =
    88°
    ,
    y
    =
    54°
    ,
    z
    =
    72°
  • (v)
    x
    =
    88°
    ,
    y
    =
    52°
    ,
    z
    =
    74°
Question 23
23.
In the given two equilateral triangles, find ∠M + ∠O + ∠Q + ∠N + ∠P + ∠R .
  • (i)
    359°
  • (ii)
    361°
  • (iii)
    362°
  • (iv)
    358°
  • (v)
    360°
    Assignment Key
  •  1) (i)
  •  2) (iv)
  •  3) (ii)
  •  4) (ii)
  •  5) (v)
  •  6) (v)
  •  7) (i)
  •  8) (ii)
  •  9) (i)
  •  10) (i)
  •  11) (i)
  •  12) (iv)
  •  13) (v)
  •  14) (i)
  •  15) (ii)
  •  16) (i)
  •  17) (iv)
  •  18) (iii)
  •  19) (iv)
  •  20) (v)
  •  21) (ii)
  •  22) (iv)
  •  23) (v)