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 66° and 52° respectively. Find the measure of the third angle of the triangle
(i)
60°
(ii)
64°
(iii)
61°
(iv)
63°
(v)
62°
Question
2
2.
The angles of a triangle ABC are in the ratio 6 : 5 : 9. Find the measure of each angle of the triangle
(i)
A
=
52°
,
B
=
45°
,
C
=
83°
(ii)
A
=
54°
,
B
=
43°
,
C
=
83°
(iii)
A
=
56°
,
B
=
45°
,
C
=
79°
(iv)
A
=
52°
,
B
=
47°
,
C
=
81°
(v)
A
=
54°
,
B
=
45°
,
C
=
81°
Question
3
3.
In △FGH, if ∠F = 67° and ∠G = 50°, find the measure of ∠H
(i)
H
=
61°
(ii)
H
=
65°
(iii)
H
=
63°
(iv)
H
=
64°
(v)
H
=
62°
Question
4
4.
In △IJK, if ∠I = 50° and ∠J = ∠K, find the measure of each of the equal angles of the triangle
(i)
65°
(ii)
67°
(iii)
64°
(iv)
63°
(v)
66°
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
=
43°
,
C
=
73°
(ii)
B
=
44°
,
C
=
74°
(iii)
B
=
45°
,
C
=
75°
(iv)
B
=
47°
,
C
=
77°
(v)
B
=
46°
,
C
=
76°
Question
6
6.
In a right-angled triangle, the two acute angles are in the ratio 1 : 8. Find these angles.
(i)
A
=
9°
,
C
=
79°
(ii)
A
=
10°
,
C
=
80°
(iii)
A
=
11°
,
C
=
81°
(iv)
A
=
12°
,
C
=
82°
(v)
A
=
8°
,
C
=
78°
Question
7
7.
One of the two equal angles of an isosceles triangle measures 54°. Find the measure of each angle of the triangle.
(i)
A
=
56°
,
B
=
54°
,
C
=
70°
(ii)
A
=
52°
,
B
=
56°
,
C
=
72°
(iii)
A
=
54°
,
B
=
54°
,
C
=
72°
(iv)
A
=
52°
,
B
=
54°
,
C
=
74°
(v)
A
=
54°
,
B
=
52°
,
C
=
74°
Question
8
8.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
47°
(ii)
46°
(iii)
44°
(iv)
45°
(v)
43°
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)
59°
(ii)
60°
(iii)
62°
(iv)
58°
(v)
61°
Question
10
10.
In a right-angled triangle if one of the acute angles is 43°, find the measure of the other acute angle.
(i)
49°
(ii)
48°
(iii)
47°
(iv)
46°
(v)
45°
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
=
28°
,
C
=
32°
(ii)
A
=
122°
,
B
=
30°
,
C
=
28°
(iii)
A
=
118°
,
B
=
32°
,
C
=
30°
(iv)
A
=
120°
,
B
=
30°
,
C
=
30°
(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
=
80°
,
C
=
80°
(ii)
A
=
18°
,
B
=
82°
,
C
=
80°
(iii)
A
=
20°
,
B
=
78°
,
C
=
82°
(iv)
A
=
18°
,
B
=
80°
,
C
=
82°
(v)
A
=
22°
,
B
=
80°
,
C
=
78°
Question
13
13.
The ratio between the base angle and the vertical angle of an isosceles triangle is 4 : 1. Find each angle of the triangle
(i)
A
=
20°
,
B
=
78°
,
C
=
82°
(ii)
A
=
18°
,
B
=
82°
,
C
=
80°
(iii)
A
=
20°
,
B
=
80°
,
C
=
80°
(iv)
A
=
22°
,
B
=
80°
,
C
=
78°
(v)
A
=
18°
,
B
=
80°
,
C
=
82°
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
=
45°
,
Y
=
88°
,
Z
=
47°
(ii)
X
=
47°
,
Y
=
90°
,
Z
=
43°
(iii)
X
=
43°
,
Y
=
92°
,
Z
=
45°
(iv)
X
=
43°
,
Y
=
90°
,
Z
=
47°
(v)
X
=
45°
,
Y
=
90°
,
Z
=
45°
Assignment Key
1) (v)
2) (v)
3) (iii)
4) (i)
5) (iii)
6) (ii)
7) (iii)
8) (iv)
9) (ii)
10) (iii)
11) (iv)
12) (i)
13) (iii)
14) (v)
