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Byju's Answer
Standard IX
Mathematics
Rhombus
Two adjacent ...
Question
Two adjacent angles of a rhombus are
3
x
−
40
∘
and
2
x
+
20
∘
.
Find the
measurement of the greater angle in degrees.
100
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Solution
The correct option is
A
100
The sum of the adjacent angles of a rhombus is supplementary.
So,
3
x
−
40
∘
+
2
x
+
20
∘
=
180
∘
⇒
5
x
−
20
∘
=
180
∘
⇒
5
x
=
200
∘
⇒
x
=
200
∘
5
=
40
∘
∴
3
x
−
40
∘
=
3
(
40
∘
)
−
40
∘
=
80
∘
2
x
+
20
∘
=
2
(
40
∘
)
+
20
∘
=
100
∘
The measurement of the greater
angle is
100
∘
.
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2
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