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 57° and 60° respectively. Find the measure of the third angle of the triangle
(i)
64°
(ii)
65°
(iii)
63°
(iv)
62°
(v)
61°
Question
2
2.
The angles of a triangle ABC are in the ratio 6 : 8 : 16. Find the measure of each angle of the triangle
(i)
A
=
36°
,
B
=
46°
,
C
=
98°
(ii)
A
=
34°
,
B
=
50°
,
C
=
96°
(iii)
A
=
36°
,
B
=
48°
,
C
=
96°
(iv)
A
=
34°
,
B
=
48°
,
C
=
98°
(v)
A
=
38°
,
B
=
48°
,
C
=
94°
Question
3
3.
In △ABC, if ∠A = 60° and ∠B = 52°, find the measure of ∠C
(i)
C
=
67°
(ii)
C
=
70°
(iii)
C
=
68°
(iv)
C
=
66°
(v)
C
=
69°
Question
4
4.
In △GHI, if ∠G = 30° and ∠H = ∠I, find the measure of each of the equal angles of the triangle
(i)
76°
(ii)
74°
(iii)
77°
(iv)
73°
(v)
75°
Question
5
5.
One angle of a triangle measures 40° and the other two angles are in the ratio 3 : 4. Find these angles.
(i)
B
=
60°
,
C
=
80°
(ii)
B
=
58°
,
C
=
78°
(iii)
B
=
61°
,
C
=
81°
(iv)
B
=
62°
,
C
=
82°
(v)
B
=
59°
,
C
=
79°
Question
6
6.
In a right-angled triangle, the two acute angles are in the ratio 1 : 2. Find these angles.
(i)
A
=
31°
,
C
=
61°
(ii)
A
=
29°
,
C
=
59°
(iii)
A
=
32°
,
C
=
62°
(iv)
A
=
30°
,
C
=
60°
(v)
A
=
28°
,
C
=
58°
Question
7
7.
One of the two equal angles of an isosceles triangle measures 50°. Find the measure of each angle of the triangle.
(i)
A
=
50°
,
B
=
50°
,
C
=
80°
(ii)
A
=
48°
,
B
=
52°
,
C
=
80°
(iii)
A
=
50°
,
B
=
48°
,
C
=
82°
(iv)
A
=
48°
,
B
=
50°
,
C
=
82°
(v)
A
=
52°
,
B
=
50°
,
C
=
78°
Question
8
8.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
44°
(ii)
43°
(iii)
47°
(iv)
45°
(v)
46°
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)
58°
(iii)
62°
(iv)
60°
(v)
61°
Question
10
10.
In a right-angled triangle if one of the acute angles is 62°, find the measure of the other acute angle.
(i)
29°
(ii)
27°
(iii)
28°
(iv)
30°
(v)
26°
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
=
118°
,
B
=
30°
,
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
=
120°
,
B
=
28°
,
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
=
22°
,
B
=
80°
,
C
=
78°
(ii)
A
=
18°
,
B
=
80°
,
C
=
82°
(iii)
A
=
20°
,
B
=
78°
,
C
=
82°
(iv)
A
=
18°
,
B
=
82°
,
C
=
80°
(v)
A
=
20°
,
B
=
80°
,
C
=
80°
Question
13
13.
The ratio between the base angle and the vertical angle of an isosceles triangle is 13 : 10. Find each angle of the triangle
(i)
A
=
48°
,
B
=
67°
,
C
=
65°
(ii)
A
=
50°
,
B
=
63°
,
C
=
67°
(iii)
A
=
50°
,
B
=
65°
,
C
=
65°
(iv)
A
=
52°
,
B
=
65°
,
C
=
63°
(v)
A
=
48°
,
B
=
65°
,
C
=
67°
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
=
47°
,
Y
=
90°
,
Z
=
43°
(ii)
X
=
45°
,
Y
=
88°
,
Z
=
47°
(iii)
X
=
43°
,
Y
=
92°
,
Z
=
45°
(iv)
X
=
45°
,
Y
=
90°
,
Z
=
45°
(v)
X
=
43°
,
Y
=
90°
,
Z
=
47°
Assignment Key
1) (iii)
2) (iii)
3) (iii)
4) (v)
5) (i)
6) (iv)
7) (i)
8) (iv)
9) (iv)
10) (iii)
11) (iv)
12) (v)
13) (iii)
14) (iv)
