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 63° and 63° respectively. Find the measure of the third angle of the triangle
(i)
55°
(ii)
56°
(iii)
52°
(iv)
54°
(v)
53°
Question
2
2.
The angles of a triangle ABC are in the ratio 9 : 7 : 20. Find the measure of each angle of the triangle
(i)
A
=
43°
,
B
=
35°
,
C
=
102°
(ii)
A
=
45°
,
B
=
35°
,
C
=
100°
(iii)
A
=
45°
,
B
=
33°
,
C
=
102°
(iv)
A
=
43°
,
B
=
37°
,
C
=
100°
(v)
A
=
47°
,
B
=
35°
,
C
=
98°
Question
3
3.
In △DEF, if ∠D = 62° and ∠E = 52°, find the measure of ∠F
(i)
F
=
65°
(ii)
F
=
67°
(iii)
F
=
66°
(iv)
F
=
64°
(v)
F
=
68°
Question
4
4.
In △GHI, if ∠G = 70° and ∠H = ∠I, find the measure of each of the equal angles of the triangle
(i)
53°
(ii)
56°
(iii)
57°
(iv)
55°
(v)
54°
Question
5
5.
One angle of a triangle measures 35° and the other two angles are in the ratio 4 : 25. Find these angles.
(i)
B
=
18°
,
C
=
123°
(ii)
B
=
22°
,
C
=
127°
(iii)
B
=
19°
,
C
=
124°
(iv)
B
=
21°
,
C
=
126°
(v)
B
=
20°
,
C
=
125°
Question
6
6.
In a right-angled triangle, the two acute angles are in the ratio 5 : 13. Find these angles.
(i)
A
=
23°
,
C
=
63°
(ii)
A
=
26°
,
C
=
66°
(iii)
A
=
27°
,
C
=
67°
(iv)
A
=
24°
,
C
=
64°
(v)
A
=
25°
,
C
=
65°
Question
7
7.
One of the two equal angles of an isosceles triangle measures 48°. Find the measure of each angle of the triangle.
(i)
A
=
46°
,
B
=
50°
,
C
=
84°
(ii)
A
=
48°
,
B
=
48°
,
C
=
84°
(iii)
A
=
50°
,
B
=
48°
,
C
=
82°
(iv)
A
=
48°
,
B
=
46°
,
C
=
86°
(v)
A
=
46°
,
B
=
48°
,
C
=
86°
Question
8
8.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
47°
(ii)
46°
(iii)
45°
(iv)
44°
(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)
58°
(ii)
61°
(iii)
59°
(iv)
60°
(v)
62°
Question
10
10.
In a right-angled triangle if one of the acute angles is 44°, find the measure of the other acute angle.
(i)
46°
(ii)
48°
(iii)
44°
(iv)
45°
(v)
47°
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
=
118°
,
B
=
32°
,
C
=
30°
(iii)
A
=
120°
,
B
=
28°
,
C
=
32°
(iv)
A
=
122°
,
B
=
30°
,
C
=
28°
(v)
A
=
120°
,
B
=
30°
,
C
=
30°
Question
12
12.
In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.
(i)
A
=
18°
,
B
=
80°
,
C
=
82°
(ii)
A
=
20°
,
B
=
80°
,
C
=
80°
(iii)
A
=
22°
,
B
=
80°
,
C
=
78°
(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 1 : 2. Find each angle of the triangle
(i)
A
=
88°
,
B
=
47°
,
C
=
45°
(ii)
A
=
90°
,
B
=
45°
,
C
=
45°
(iii)
A
=
90°
,
B
=
43°
,
C
=
47°
(iv)
A
=
92°
,
B
=
45°
,
C
=
43°
(v)
A
=
88°
,
B
=
45°
,
C
=
47°
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
=
90°
,
Z
=
45°
(ii)
X
=
43°
,
Y
=
92°
,
Z
=
45°
(iii)
X
=
43°
,
Y
=
90°
,
Z
=
47°
(iv)
X
=
47°
,
Y
=
90°
,
Z
=
43°
(v)
X
=
45°
,
Y
=
88°
,
Z
=
47°
Assignment Key
1) (iv)
2) (ii)
3) (iii)
4) (iv)
5) (v)
6) (v)
7) (ii)
8) (iii)
9) (iv)
10) (i)
11) (v)
12) (ii)
13) (ii)
14) (i)
