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 55° and 55° respectively. Find the measure of the third angle of the triangle
(i)
69°
(ii)
68°
(iii)
72°
(iv)
71°
(v)
70°
Question
2
2.
The angles of a triangle ABC are in the ratio 4 : 3 : 5. Find the measure of each angle of the triangle
(i)
A
=
58°
,
B
=
47°
,
C
=
75°
(ii)
A
=
60°
,
B
=
43°
,
C
=
77°
(iii)
A
=
62°
,
B
=
45°
,
C
=
73°
(iv)
A
=
60°
,
B
=
45°
,
C
=
75°
(v)
A
=
58°
,
B
=
45°
,
C
=
77°
Question
3
3.
In △IJK, if ∠I = 54° and ∠J = 62°, find the measure of ∠K
(i)
K
=
62°
(ii)
K
=
65°
(iii)
K
=
63°
(iv)
K
=
66°
(v)
K
=
64°
Question
4
4.
In △ABC, if ∠A = 40° and ∠B = ∠C, find the measure of each of the equal angles of the triangle
(i)
69°
(ii)
72°
(iii)
70°
(iv)
71°
(v)
68°
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
=
47°
,
C
=
77°
(ii)
B
=
46°
,
C
=
76°
(iii)
B
=
45°
,
C
=
75°
(iv)
B
=
44°
,
C
=
74°
(v)
B
=
43°
,
C
=
73°
Question
6
6.
In a right-angled triangle, the two acute angles are in the ratio 7 : 2. Find these angles.
(i)
A
=
71°
,
C
=
21°
(ii)
A
=
70°
,
C
=
20°
(iii)
A
=
69°
,
C
=
19°
(iv)
A
=
68°
,
C
=
18°
(v)
A
=
72°
,
C
=
22°
Question
7
7.
One of the two equal angles of an isosceles triangle measures 72°. Find the measure of each angle of the triangle.
(i)
A
=
72°
,
B
=
70°
,
C
=
38°
(ii)
A
=
74°
,
B
=
72°
,
C
=
34°
(iii)
A
=
70°
,
B
=
74°
,
C
=
36°
(iv)
A
=
72°
,
B
=
72°
,
C
=
36°
(v)
A
=
70°
,
B
=
72°
,
C
=
38°
Question
8
8.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
46°
(ii)
45°
(iii)
43°
(iv)
44°
(v)
47°
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)
61°
(ii)
58°
(iii)
62°
(iv)
59°
(v)
60°
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)
47°
(ii)
45°
(iii)
43°
(iv)
46°
(v)
44°
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
=
118°
,
B
=
32°
,
C
=
30°
(iii)
A
=
122°
,
B
=
30°
,
C
=
28°
(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
=
20°
,
B
=
78°
,
C
=
82°
(iii)
A
=
18°
,
B
=
82°
,
C
=
80°
(iv)
A
=
22°
,
B
=
80°
,
C
=
78°
(v)
A
=
18°
,
B
=
80°
,
C
=
82°
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
=
72°
,
B
=
55°
,
C
=
53°
(ii)
A
=
68°
,
B
=
55°
,
C
=
57°
(iii)
A
=
70°
,
B
=
53°
,
C
=
57°
(iv)
A
=
70°
,
B
=
55°
,
C
=
55°
(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
=
45°
,
Y
=
88°
,
Z
=
47°
(ii)
X
=
47°
,
Y
=
90°
,
Z
=
43°
(iii)
X
=
45°
,
Y
=
90°
,
Z
=
45°
(iv)
X
=
43°
,
Y
=
92°
,
Z
=
45°
(v)
X
=
43°
,
Y
=
90°
,
Z
=
47°
Assignment Key
1) (v)
2) (iv)
3) (v)
4) (iii)
5) (iii)
6) (ii)
7) (iv)
8) (ii)
9) (v)
10) (ii)
11) (iv)
12) (i)
13) (iv)
14) (iii)
