EduSahara™ Assignment
Name : Simple Equation Word Problems
Chapter : Simple Equations
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
Two angles of a triangle measure 60° and 57° respectively. Find the measure of the third angle of the triangle
(i)
63°
(ii)
61°
(iii)
62°
(iv)
64°
(v)
65°
Question
2
2.
Find the unknown angle from the following figure
(i)
x
=
68.68°
(ii)
x
=
70.68°
(iii)
x
=
66.68°
(iv)
x
=
67.68°
(v)
x
=
69.68°
Question
3
3.
In the given figure, △FGH in which side GH has been produced to I. If ∠HFG = x° , ∠FGH = (8/9a)° , ∠GHF = (1/3a)° and ∠FHI = (5/3a)°, find the values of a and x.
(i)
a
=
88°
,
x
=
68°
(ii)
a
=
89°
,
x
=
69°
(iii)
a
=
91°
,
x
=
71°
(iv)
a
=
90°
,
x
=
70°
(v)
a
=
92°
,
x
=
72°
Question
4
4.
Find the angles of the triangle
(i)
F
=
50°
,
G
=
60°
,
H
=
70°
(ii)
F
=
48°
,
G
=
60°
,
H
=
72°
(iii)
F
=
48°
,
G
=
62°
,
H
=
70°
(iv)
F
=
50°
,
G
=
58°
,
H
=
72°
(v)
F
=
52°
,
G
=
60°
,
H
=
68°
Question
5
5.
Calculate the value of x in the following figure
(i)
x
=
44.32°
(ii)
x
=
47.32°
(iii)
x
=
48.32°
(iv)
x
=
45.32°
(v)
x
=
46.32°
Question
6
6.
Find the unknown angles in the following figure
(i)
D
=
50°
,
E
=
50°
(ii)
D
=
51°
,
E
=
51°
(iii)
D
=
52°
,
E
=
52°
(iv)
D
=
54°
,
E
=
54°
(v)
D
=
53°
,
E
=
53°
Question
7
7.
In the given triangle, ∠F = 42.24°. Find the measure of ∠G and ∠H
(i)
∠G = ∠H = 69.88°
(ii)
∠G = ∠H = 70.88°
(iii)
∠G = ∠H = 68.88°
(iv)
∠G = ∠H = 66.88°
(v)
∠G = ∠H = 67.88°
Question
8
8.
Find the unknown angle in the following figure
(i)
x
=
61.74°
(ii)
x
=
60.74°
(iii)
x
=
59.74°
(iv)
x
=
58.74°
(v)
x
=
57.74°
Question
9
9.
Find the unknown angle in the following figure
(i)
x
=
45°
(ii)
x
=
47°
(iii)
x
=
46°
(iv)
x
=
43°
(v)
x
=
44°
Question
10
10.
In △HIJ, if ∠H = 69° and ∠I = 56°, find the measure of ∠J
(i)
J
=
56°
(ii)
J
=
53°
(iii)
J
=
57°
(iv)
J
=
55°
(v)
J
=
54°
Question
11
11.
In △DEF, if ∠D = 70° and ∠E = ∠F, find the measure of each of the equal angles of the triangle
(i)
53°
(ii)
54°
(iii)
57°
(iv)
55°
(v)
56°
Question
12
12.
One of the two equal angles of an isosceles triangle measures 71°. Find the measure of each angle of the triangle.
(i)
A
=
71°
,
B
=
69°
,
C
=
40°
(ii)
A
=
73°
,
B
=
71°
,
C
=
36°
(iii)
A
=
69°
,
B
=
73°
,
C
=
38°
(iv)
A
=
69°
,
B
=
71°
,
C
=
40°
(v)
A
=
71°
,
B
=
71°
,
C
=
38°
Question
13
13.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
44°
(ii)
45°
(iii)
46°
(iv)
47°
(v)
43°
Question
14
14.
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
(i)
62°
(ii)
61°
(iii)
60°
(iv)
59°
(v)
58°
Question
15
15.
In a right-angled triangle if one of the acute angles is 31°, find the measure of the other acute angle.
(i)
58°
(ii)
57°
(iii)
59°
(iv)
61°
(v)
60°
Question
16
16.
The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of the triangle.
(i)
A
=
118°
,
B
=
30°
,
C
=
32°
(ii)
A
=
120°
,
B
=
28°
,
C
=
32°
(iii)
A
=
122°
,
B
=
30°
,
C
=
28°
(iv)
A
=
120°
,
B
=
30°
,
C
=
30°
(v)
A
=
118°
,
B
=
32°
,
C
=
30°
Question
17
17.
In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.
(i)
A
=
18°
,
B
=
82°
,
C
=
80°
(ii)
A
=
20°
,
B
=
78°
,
C
=
82°
(iii)
A
=
20°
,
B
=
80°
,
C
=
80°
(iv)
A
=
18°
,
B
=
80°
,
C
=
82°
(v)
A
=
22°
,
B
=
80°
,
C
=
78°
Question
18
18.
The ratio between the base angle and the vertical angle of an isosceles triangle is 1 : 2. Find each angle of the triangle
(i)
A
=
88°
,
B
=
45°
,
C
=
47°
(ii)
A
=
90°
,
B
=
43°
,
C
=
47°
(iii)
A
=
88°
,
B
=
47°
,
C
=
45°
(iv)
A
=
92°
,
B
=
45°
,
C
=
43°
(v)
A
=
90°
,
B
=
45°
,
C
=
45°
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (i)
5) (v)
6) (iii)
7) (iii)
8) (iii)
9) (i)
10) (iv)
11) (iv)
12) (v)
13) (ii)
14) (iii)
15) (iii)
16) (iv)
17) (iii)
18) (v)
