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Standard VI
Mathematics
Question
In the given figure , find the value of
x
and
y
.
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Solution
Verified by Toppr
In the given figure,
y
=
60
∘
(vertically opposite angles)
z
=
45
∘
(vertically opposite angles)
In
△
A
B
C
,
∠
A
+
∠
B
+
∠
C
=
180
∘
(By angle sum property of triangle)
⇒
60
∘
+
x
+
45
∘
=
180
∘
⇒
105
∘
+
x
=
180
∘
⇒
x
=
180
∘
−
105
∘
=
75
∘
∴
x
=
75
∘
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