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 60° respectively. Find the measure of the third angle of the triangle
(i)
61°
(ii)
63°
(iii)
60°
(iv)
59°
(v)
62°
Question
2
2.
The angles of a triangle ABC are in the ratio 10 : 19 : 31. Find the measure of each angle of the triangle
(i)
A
=
32°
,
B
=
57°
,
C
=
91°
(ii)
A
=
28°
,
B
=
59°
,
C
=
93°
(iii)
A
=
28°
,
B
=
57°
,
C
=
95°
(iv)
A
=
30°
,
B
=
57°
,
C
=
93°
(v)
A
=
30°
,
B
=
55°
,
C
=
95°
Question
3
3.
In △CDE, if ∠C = 56° and ∠D = 62°, find the measure of ∠E
(i)
E
=
60°
(ii)
E
=
63°
(iii)
E
=
64°
(iv)
E
=
61°
(v)
E
=
62°
Question
4
4.
In △HIJ, if ∠H = 40° and ∠I = ∠J, find the measure of each of the equal angles of the triangle
(i)
70°
(ii)
72°
(iii)
69°
(iv)
68°
(v)
71°
Question
5
5.
One angle of a triangle measures 30° and the other two angles are in the ratio 7 : 23. Find these angles.
(i)
B
=
34°
,
C
=
114°
(ii)
B
=
33°
,
C
=
113°
(iii)
B
=
37°
,
C
=
117°
(iv)
B
=
36°
,
C
=
116°
(v)
B
=
35°
,
C
=
115°
Question
6
6.
In a right-angled triangle, the two acute angles are in the ratio 1 : 8. Find these angles.
(i)
A
=
10°
,
C
=
80°
(ii)
A
=
12°
,
C
=
82°
(iii)
A
=
9°
,
C
=
79°
(iv)
A
=
11°
,
C
=
81°
(v)
A
=
8°
,
C
=
78°
Question
7
7.
One of the two equal angles of an isosceles triangle measures 59°. Find the measure of each angle of the triangle.
(i)
A
=
61°
,
B
=
59°
,
C
=
60°
(ii)
A
=
59°
,
B
=
59°
,
C
=
62°
(iii)
A
=
57°
,
B
=
61°
,
C
=
62°
(iv)
A
=
57°
,
B
=
59°
,
C
=
64°
(v)
A
=
59°
,
B
=
57°
,
C
=
64°
Question
8
8.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
46°
(ii)
43°
(iii)
47°
(iv)
45°
(v)
44°
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)
59°
(iii)
61°
(iv)
62°
(v)
58°
Question
10
10.
In a right-angled triangle if one of the acute angles is 45°, find the measure of the other acute angle.
(i)
46°
(ii)
45°
(iii)
44°
(iv)
47°
(v)
43°
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
=
120°
,
B
=
30°
,
C
=
30°
(iv)
A
=
118°
,
B
=
32°
,
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
=
20°
,
B
=
80°
,
C
=
80°
(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
=
78°
,
C
=
82°
Question
13
13.
The ratio between the base angle and the vertical angle of an isosceles triangle is 7 : 4. Find each angle of the triangle
(i)
A
=
40°
,
B
=
68°
,
C
=
72°
(ii)
A
=
38°
,
B
=
70°
,
C
=
72°
(iii)
A
=
40°
,
B
=
70°
,
C
=
70°
(iv)
A
=
42°
,
B
=
70°
,
C
=
68°
(v)
A
=
38°
,
B
=
72°
,
C
=
70°
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
=
43°
,
Y
=
90°
,
Z
=
47°
(iii)
X
=
43°
,
Y
=
92°
,
Z
=
45°
(iv)
X
=
47°
,
Y
=
90°
,
Z
=
43°
(v)
X
=
45°
,
Y
=
90°
,
Z
=
45°
Assignment Key
1) (i)
2) (iv)
3) (v)
4) (i)
5) (v)
6) (i)
7) (ii)
8) (iv)
9) (i)
10) (ii)
11) (iii)
12) (i)
13) (iii)
14) (v)
