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CBSE Grade VII - The Triangle and its Properties
Question
1
1.
In the given figure, △HIJ in which side IJ has been produced to K. If ∠JHI = x° , ∠HIJ = (1/3a)° , ∠IJH = (1/2a)° and ∠HJK = (1a)°, find the values of a and x.
a
=
118°
,
x
=
78°
a
=
121°
,
x
=
81°
a
=
119°
,
x
=
79°
a
=
120°
,
x
=
80°
a
=
122°
,
x
=
82°
Question
2
2.
Find the unknown angle in the following figure
x
=
54.13°
x
=
57.13°
x
=
55.13°
x
=
53.13°
x
=
56.13°
Question
3
3.
In a right-angled triangle if one of the acute angles is 28°, find the measure of the other acute angle.
62°
64°
61°
60°
63°
Question
4
4.
Find the angles of the triangle
I
=
60°
,
J
=
45°
,
K
=
75°
I
=
62°
,
J
=
45°
,
K
=
73°
I
=
60°
,
J
=
43°
,
K
=
77°
I
=
58°
,
J
=
47°
,
K
=
75°
I
=
58°
,
J
=
45°
,
K
=
77°
Question
5
5.
In a right angled triangle, if one of the angles is 40.6°, find the third angle
49.4°
64.4°
59.4°
54.4°
79.4°
Question
6
6.
The vertex opposite to the side
XV
W
XY
Z
V
Question
7
7.
Which of the following are measures of an equilateral triangle ?
OP = 12 cm , PQ = 10 cm , QO = 15.62 cm
OP = 13 cm , PQ = 10 cm , QO = 13 cm
OP = 13 cm , PQ = 13 cm , QO = 13 cm
OP = 13 cm , PQ = 11 cm , QO = 14 cm
OP = 12 cm , PQ = 12 cm , QO = 16.97 cm
Question
8
8.
Find the unknown angles in the following figure
F
=
55°
,
G
=
55°
F
=
56°
,
G
=
56°
F
=
57°
,
G
=
57°
F
=
54°
,
G
=
54°
F
=
58°
,
G
=
58°
Question
9
9.
Two angles of a triangle measure 68° and 57° respectively. Find the measure of the third angle of the triangle
53°
57°
56°
54°
55°
Question
10
10.
Find the unknown marked angle in the following figure
x
=
53.1°
x
=
49.1°
x
=
50.1°
x
=
51.1°
x
=
52.1°
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