EduSahara™ Assignment
Name : Triangle Angle Properties
Chapter : The Triangle and its Properties
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
Two angles of a triangle measure 54° and 50° respectively. Find the measure of the third angle of the triangle
(i)
76°
(ii)
77°
(iii)
74°
(iv)
75°
(v)
78°
Question
2
2.
The angles of a triangle ABC are in the ratio 1 : 2 : 3. Find the measure of each angle of the triangle
(i)
A
=
28°
,
B
=
62°
,
C
=
90°
(ii)
A
=
30°
,
B
=
60°
,
C
=
90°
(iii)
A
=
28°
,
B
=
60°
,
C
=
92°
(iv)
A
=
32°
,
B
=
60°
,
C
=
88°
(v)
A
=
30°
,
B
=
58°
,
C
=
92°
Question
3
3.
Find the unknown angle from the following figure
(i)
x
=
49.82°
(ii)
x
=
50.82°
(iii)
x
=
52.82°
(iv)
x
=
51.82°
(v)
x
=
53.82°
Question
4
4.
In the given figure, △GHI in which side HI has been produced to J. If ∠IGH = x° , ∠GHI = (2a)° , ∠HIG = (4/3a)° and ∠GIJ = (14/3a)°, find the values of a and x.
(i)
a
=
31°
,
x
=
81°
(ii)
a
=
28°
,
x
=
78°
(iii)
a
=
32°
,
x
=
82°
(iv)
a
=
29°
,
x
=
79°
(v)
a
=
30°
,
x
=
80°
Question
5
5.
Find the angles of the triangle
(i)
G
=
38°
,
H
=
54°
,
I
=
88°
(ii)
G
=
36°
,
H
=
54°
,
I
=
90°
(iii)
G
=
34°
,
H
=
56°
,
I
=
90°
(iv)
G
=
34°
,
H
=
54°
,
I
=
92°
(v)
G
=
36°
,
H
=
52°
,
I
=
92°
Question
6
6.
Calculate the value of x in the following figure
(i)
x
=
39.25°
(ii)
x
=
36.25°
(iii)
x
=
40.25°
(iv)
x
=
38.25°
(v)
x
=
37.25°
Question
7
7.
Calculate the value of x in the following figure
(i)
x
=
64.33°
(ii)
x
=
62.33°
(iii)
x
=
63.33°
(iv)
x
=
65.33°
(v)
x
=
61.33°
Question
8
8.
Find the unknown marked angle in the following figure
(i)
x
=
60.17°
(ii)
x
=
58.17°
(iii)
x
=
56.17°
(iv)
x
=
59.17°
(v)
x
=
57.17°
Question
9
9.
Find the unknown angles in the following figure
(i)
D
=
51°
,
E
=
51°
(ii)
D
=
52°
,
E
=
52°
(iii)
D
=
55°
,
E
=
55°
(iv)
D
=
53°
,
E
=
53°
(v)
D
=
54°
,
E
=
54°
Question
10
10.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle
(i)
H
=
43°
,
I
=
38°
,
J
=
99°
(ii)
H
=
45°
,
I
=
36°
,
J
=
99°
(iii)
H
=
43°
,
I
=
36°
,
J
=
101°
(iv)
H
=
47°
,
I
=
36°
,
J
=
97°
(v)
H
=
45°
,
I
=
34°
,
J
=
101°
Question
11
11.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle.
(i)
G
=
58°
,
H
=
47°
,
I
=
75°
(ii)
G
=
60°
,
H
=
43°
,
I
=
77°
(iii)
G
=
62°
,
H
=
45°
,
I
=
73°
(iv)
G
=
60°
,
H
=
45°
,
I
=
75°
(v)
G
=
58°
,
H
=
45°
,
I
=
77°
Question
12
12.
In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.
(i)
x
=
34°
,
y
=
45°
,
z
=
101°
(ii)
x
=
36°
,
y
=
43°
,
z
=
101°
(iii)
x
=
34°
,
y
=
47°
,
z
=
99°
(iv)
x
=
38°
,
y
=
45°
,
z
=
97°
(v)
x
=
36°
,
y
=
45°
,
z
=
99°
Question
13
13.
In the following figure, one side of a triangle has been produced. Find the values of x and y.
(i)
x
=
61°
,
y
=
76°
(ii)
x
=
62°
,
y
=
77°
(iii)
x
=
58°
,
y
=
73°
(iv)
x
=
59°
,
y
=
74°
(v)
x
=
60°
,
y
=
75°
Question
14
14.
Calculate the value of the lettered angle in the following figure
(i)
x
=
59.17°
(ii)
x
=
61.17°
(iii)
x
=
60.17°
(iv)
x
=
58.17°
(v)
x
=
62.17°
Question
15
15.
Calculate the value of the lettered angle in the following figure
(i)
x
=
55.1°
(ii)
x
=
54.1°
(iii)
x
=
53.1°
(iv)
x
=
56.1°
(v)
x
=
52.1°
Question
16
16.
In the given triangle, ∠C = 79.62°. Find the measure of ∠D and ∠E
(i)
∠D = ∠E = 49.19°
(ii)
∠D = ∠E = 48.19°
(iii)
∠D = ∠E = 51.19°
(iv)
∠D = ∠E = 52.19°
(v)
∠D = ∠E = 50.19°
Question
17
17.
Find the unknown angle in the following figure
(i)
x
=
40.87°
(ii)
x
=
39.87°
(iii)
x
=
38.87°
(iv)
x
=
41.87°
(v)
x
=
37.87°
Question
18
18.
Find the unknown angle in the following figure
(i)
x
=
45°
(ii)
x
=
44°
(iii)
x
=
43°
(iv)
x
=
46°
(v)
x
=
47°
Question
19
19.
Find the unknown angle in the following figure
(i)
x
=
133°
(ii)
x
=
135°
(iii)
x
=
134°
(iv)
x
=
137°
(v)
x
=
136°
Question
20
20.
In △BCD, if ∠B = 63° and ∠C = 65°, find the measure of ∠D
(i)
D
=
52°
(ii)
D
=
50°
(iii)
D
=
53°
(iv)
D
=
51°
(v)
D
=
54°
Question
21
21.
In △GHI, if ∠G = 30° and ∠H = ∠I, find the measure of each of the equal angles of the triangle
(i)
77°
(ii)
73°
(iii)
75°
(iv)
76°
(v)
74°
Question
22
22.
One angle of a triangle measures 54° and the other two angles are in the ratio 2 : 5. Find these angles.
(i)
B
=
37°
,
C
=
91°
(ii)
B
=
36°
,
C
=
90°
(iii)
B
=
34°
,
C
=
88°
(iv)
B
=
35°
,
C
=
89°
(v)
B
=
38°
,
C
=
92°
Question
23
23.
In a right-angled triangle, the two acute angles are in the ratio 11 : 7. Find these angles.
(i)
A
=
54°
,
C
=
34°
(ii)
A
=
56°
,
C
=
36°
(iii)
A
=
55°
,
C
=
35°
(iv)
A
=
57°
,
C
=
37°
(v)
A
=
53°
,
C
=
33°
Question
24
24.
One of the two equal angles of an isosceles triangle measures 58°. Find the measure of each angle of the triangle.
(i)
A
=
56°
,
B
=
58°
,
C
=
66°
(ii)
A
=
58°
,
B
=
58°
,
C
=
64°
(iii)
A
=
58°
,
B
=
56°
,
C
=
66°
(iv)
A
=
56°
,
B
=
60°
,
C
=
64°
(v)
A
=
60°
,
B
=
58°
,
C
=
62°
Question
25
25.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
47°
(ii)
43°
(iii)
45°
(iv)
44°
(v)
46°
Question
26
26.
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
(i)
59°
(ii)
60°
(iii)
61°
(iv)
58°
(v)
62°
Question
27
27.
In a right-angled triangle if one of the acute angles is 56°, find the measure of the other acute angle.
(i)
36°
(ii)
34°
(iii)
32°
(iv)
33°
(v)
35°
Question
28
28.
The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of the triangle.
(i)
A
=
122°
,
B
=
30°
,
C
=
28°
(ii)
A
=
118°
,
B
=
32°
,
C
=
30°
(iii)
A
=
120°
,
B
=
28°
,
C
=
32°
(iv)
A
=
120°
,
B
=
30°
,
C
=
30°
(v)
A
=
118°
,
B
=
30°
,
C
=
32°
Question
29
29.
In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.
(i)
A
=
20°
,
B
=
78°
,
C
=
82°
(ii)
A
=
22°
,
B
=
80°
,
C
=
78°
(iii)
A
=
18°
,
B
=
80°
,
C
=
82°
(iv)
A
=
18°
,
B
=
82°
,
C
=
80°
(v)
A
=
20°
,
B
=
80°
,
C
=
80°
Question
30
30.
The ratio between the base angle and the vertical angle of an isosceles triangle is 5 : 2. Find each angle of the triangle
(i)
A
=
30°
,
B
=
75°
,
C
=
75°
(ii)
A
=
32°
,
B
=
75°
,
C
=
73°
(iii)
A
=
28°
,
B
=
75°
,
C
=
77°
(iv)
A
=
30°
,
B
=
73°
,
C
=
77°
(v)
A
=
28°
,
B
=
77°
,
C
=
75°
Question
31
31.
In the given figure, QR ∥ ST, ∠HER = 57° and EF = GE. Find the measure of x.
(i)
x
=
65°
(ii)
x
=
64°
(iii)
x
=
66°
(iv)
x
=
68°
(v)
x
=
67°
Question
32
32.
Find the unknown marked angles in the following figure
(i)
x
=
105°
,
y
=
32°
(ii)
x
=
109°
,
y
=
36°
(iii)
x
=
107°
,
y
=
34°
(iv)
x
=
108°
,
y
=
35°
(v)
x
=
106°
,
y
=
33°
Question
33
33.
Find the unknown marked angles in the following figure
(i)
x
=
108°
,
y
=
108°
(ii)
x
=
109°
,
y
=
109°
(iii)
x
=
110°
,
y
=
110°
(iv)
x
=
107°
,
y
=
107°
(v)
x
=
106°
,
y
=
106°
Question
34
34.
Find the unknown marked angles in the following figure
(i)
x
=
108°
,
y
=
148°
(ii)
x
=
107°
,
y
=
147°
(iii)
x
=
109°
,
y
=
149°
(iv)
x
=
111°
,
y
=
151°
(v)
x
=
110°
,
y
=
150°
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (v)
5) (ii)
6) (iv)
7) (iii)
8) (ii)
9) (iv)
10) (ii)
11) (iv)
12) (v)
13) (v)
14) (iii)
15) (ii)
16) (v)
17) (ii)
18) (i)
19) (ii)
20) (i)
21) (iii)
22) (ii)
23) (iii)
24) (ii)
25) (iii)
26) (ii)
27) (ii)
28) (iv)
29) (v)
30) (i)
31) (iii)
32) (iii)
33) (i)
34) (iii)
