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 53° and 59° respectively. Find the measure of the third angle of the triangle
(i)
67°
(ii)
68°
(iii)
69°
(iv)
70°
(v)
66°
Question
2
2.
The angles of a triangle ABC are in the ratio 3 : 2 : 5. Find the measure of each angle of the triangle
(i)
A
=
52°
,
B
=
38°
,
C
=
90°
(ii)
A
=
52°
,
B
=
36°
,
C
=
92°
(iii)
A
=
54°
,
B
=
34°
,
C
=
92°
(iv)
A
=
54°
,
B
=
36°
,
C
=
90°
(v)
A
=
56°
,
B
=
36°
,
C
=
88°
Question
3
3.
In △ABC, if ∠A = 50° and ∠B = 51°, find the measure of ∠C
(i)
C
=
81°
(ii)
C
=
79°
(iii)
C
=
78°
(iv)
C
=
80°
(v)
C
=
77°
Question
4
4.
In △CDE, if ∠C = 50° and ∠D = ∠E, find the measure of each of the equal angles of the triangle
(i)
65°
(ii)
67°
(iii)
66°
(iv)
64°
(v)
63°
Question
5
5.
One angle of a triangle measures 45° and the other two angles are in the ratio 10 : 17. Find these angles.
(i)
B
=
48°
,
C
=
83°
(ii)
B
=
49°
,
C
=
84°
(iii)
B
=
50°
,
C
=
85°
(iv)
B
=
52°
,
C
=
87°
(v)
B
=
51°
,
C
=
86°
Question
6
6.
In a right-angled triangle, the two acute angles are in the ratio 11 : 7. Find these angles.
(i)
A
=
57°
,
C
=
37°
(ii)
A
=
55°
,
C
=
35°
(iii)
A
=
53°
,
C
=
33°
(iv)
A
=
56°
,
C
=
36°
(v)
A
=
54°
,
C
=
34°
Question
7
7.
One of the two equal angles of an isosceles triangle measures 52°. Find the measure of each angle of the triangle.
(i)
A
=
52°
,
B
=
50°
,
C
=
78°
(ii)
A
=
50°
,
B
=
52°
,
C
=
78°
(iii)
A
=
50°
,
B
=
54°
,
C
=
76°
(iv)
A
=
54°
,
B
=
52°
,
C
=
74°
(v)
A
=
52°
,
B
=
52°
,
C
=
76°
Question
8
8.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
(i)
46°
(ii)
47°
(iii)
43°
(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)
58°
(ii)
61°
(iii)
59°
(iv)
62°
(v)
60°
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)
47°
(ii)
48°
(iii)
45°
(iv)
46°
(v)
49°
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
=
32°
,
C
=
30°
(ii)
A
=
122°
,
B
=
30°
,
C
=
28°
(iii)
A
=
118°
,
B
=
30°
,
C
=
32°
(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
=
20°
,
B
=
78°
,
C
=
82°
(iii)
A
=
20°
,
B
=
80°
,
C
=
80°
(iv)
A
=
18°
,
B
=
82°
,
C
=
80°
(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 13 : 10. Find each angle of the triangle
(i)
A
=
48°
,
B
=
65°
,
C
=
67°
(ii)
A
=
48°
,
B
=
67°
,
C
=
65°
(iii)
A
=
50°
,
B
=
63°
,
C
=
67°
(iv)
A
=
52°
,
B
=
65°
,
C
=
63°
(v)
A
=
50°
,
B
=
65°
,
C
=
65°
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
=
90°
,
Z
=
47°
(iv)
X
=
43°
,
Y
=
92°
,
Z
=
45°
(v)
X
=
45°
,
Y
=
90°
,
Z
=
45°
Assignment Key
1) (ii)
2) (iv)
3) (ii)
4) (i)
5) (iii)
6) (ii)
7) (v)
8) (iv)
9) (v)
10) (i)
11) (iv)
12) (iii)
13) (v)
14) (v)
