EduSahara™ Assignment
Name : Triangle Angle Properties
Chapter : Triangles and Its Properties
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
Two angles of a triangle measure 59° and 68° respectively. Find the measure of the third angle of the triangle
(i)
51°
(ii)
55°
(iii)
52°
(iv)
54°
(v)
53°
Question
2
2.
The angles of a triangle ABC are in the ratio 9 : 6 : 15. Find the measure of each angle of the triangle
(i)
A
=
52°
,
B
=
36°
,
C
=
92°
(ii)
A
=
54°
,
B
=
36°
,
C
=
90°
(iii)
A
=
56°
,
B
=
36°
,
C
=
88°
(iv)
A
=
52°
,
B
=
38°
,
C
=
90°
(v)
A
=
54°
,
B
=
34°
,
C
=
92°
Question
3
3.
In △ABC, if ∠A = 58° and ∠B = 54°, find the measure of ∠C
(i)
C
=
67°
(ii)
C
=
69°
(iii)
C
=
66°
(iv)
C
=
70°
(v)
C
=
68°
Question
4
4.
In △FGH, if ∠F = 30° and ∠G = ∠H, find the measure of each of the equal angles of the triangle
(i)
76°
(ii)
77°
(iii)
74°
(iv)
75°
(v)
73°
Question
5
5.
One angle of a triangle measures 60° and the other two angles are in the ratio 3 : 5. Find these angles.
(i)
B
=
44°
,
C
=
74°
(ii)
B
=
46°
,
C
=
76°
(iii)
B
=
47°
,
C
=
77°
(iv)
B
=
43°
,
C
=
73°
(v)
B
=
45°
,
C
=
75°
Question
6
6.
In a right-angled triangle, the two acute angles are in the ratio 7 : 2. Find these angles.
(i)
A
=
70°
,
C
=
20°
(ii)
A
=
68°
,
C
=
18°
(iii)
A
=
71°
,
C
=
21°
(iv)
A
=
69°
,
C
=
19°
(v)
A
=
72°
,
C
=
22°
Question
7
7.
One of the two equal angles of an isosceles triangle measures 62°. Find the measure of each angle of the triangle.
(i)
A
=
62°
,
B
=
62°
,
C
=
56°
(ii)
A
=
60°
,
B
=
64°
,
C
=
56°
(iii)
A
=
64°
,
B
=
62°
,
C
=
54°
(iv)
A
=
60°
,
B
=
62°
,
C
=
58°
(v)
A
=
62°
,
B
=
60°
,
C
=
58°
Question
8
8.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
44°
(ii)
47°
(iii)
43°
(iv)
46°
(v)
45°
Question
9
9.
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
(i)
60°
(ii)
58°
(iii)
61°
(iv)
59°
(v)
62°
Question
10
10.
In a right-angled triangle if one of the acute angles is 32°, find the measure of the other acute angle.
(i)
56°
(ii)
59°
(iii)
58°
(iv)
57°
(v)
60°
Question
11
11.
The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of the triangle.
(i)
A
=
120°
,
B
=
30°
,
C
=
30°
(ii)
A
=
120°
,
B
=
28°
,
C
=
32°
(iii)
A
=
118°
,
B
=
32°
,
C
=
30°
(iv)
A
=
122°
,
B
=
30°
,
C
=
28°
(v)
A
=
118°
,
B
=
30°
,
C
=
32°
Question
12
12.
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
=
20°
,
B
=
80°
,
C
=
80°
(v)
A
=
18°
,
B
=
82°
,
C
=
80°
Question
13
13.
The ratio between the base angle and the vertical angle of an isosceles triangle is 11 : 14. Find each angle of the triangle
(i)
A
=
70°
,
B
=
55°
,
C
=
55°
(ii)
A
=
68°
,
B
=
55°
,
C
=
57°
(iii)
A
=
72°
,
B
=
55°
,
C
=
53°
(iv)
A
=
70°
,
B
=
53°
,
C
=
57°
(v)
A
=
68°
,
B
=
57°
,
C
=
55°
Question
14
14.
Each of the two equal angles of an isosceles triangle is half the third angle. Find the angles of the triangle
(i)
X
=
43°
,
Y
=
90°
,
Z
=
47°
(ii)
X
=
45°
,
Y
=
90°
,
Z
=
45°
(iii)
X
=
43°
,
Y
=
92°
,
Z
=
45°
(iv)
X
=
45°
,
Y
=
88°
,
Z
=
47°
(v)
X
=
47°
,
Y
=
90°
,
Z
=
43°
Assignment Key
1) (v)
2) (ii)
3) (v)
4) (iv)
5) (v)
6) (i)
7) (i)
8) (v)
9) (i)
10) (iii)
11) (i)
12) (iv)
13) (i)
14) (ii)
