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Byju's Answer
Standard VIII
Mathematics
Construction of a Quadrilateral When Other Special Properties Are Known
Find the valu...
Question
Find the value of
x
in each figure.
A
65
∘
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B
70
∘
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C
105
∘
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Solution
The sum of the
interior
angles
of a
quadrilateral is equal to
360
∘
. Hence,
1.
⇒
85
∘
+
105
∘
+
105
∘
+
x
=
360
∘
⇒
295
∘
+
x
=
360
∘
⇒
x
=
360
∘
−
295
∘
⇒
x
=
65
∘
2.
⇒
110
∘
+
88
∘
+
92
∘
+
x
=
360
∘
⇒
290
∘
+
x
=
360
∘
⇒
x
=
360
∘
−
290
∘
⇒
x
=
70
∘
3.
⇒
75
∘
+
75
∘
+
105
∘
+
x
=
360
∘
⇒
255
∘
+
x
=
360
∘
⇒
x
=
360
∘
−
255
∘
⇒
x
=
105
∘
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Construction of a Quadrilateral When Other Special Properties Are Known
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