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Byju's Answer
Standard VIII
Mathematics
Sum of Exterior Angles in a Polygon
In the given ...
Question
In the given diagram, the value of
x is
___
degrees.
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Solution
In quadrilateral ABCD,
∴
∠
A
B
C
+
∠
B
C
D
+
∠
C
D
A
+
∠
D
A
B
=
360
∘
40
∘
+
50
∘
+
∠
C
D
A
+
70
∘
=
360
∘
⇒
∠
C
D
A
+
160
∘
=
360
∘
⇒
∠
C
D
A
=
360
∘
−
160
∘
=
200
∘
Now,
∠
C
D
A
+
∠
A
D
C
=
360
∘
(
∵
Angle at a point)
200
∘
+
x
=
360
∘
⇒
x
=
360
∘
−
200
∘
⇒
x
=
160
∘
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