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Byju's Answer
Standard IX
Mathematics
Applications of Pair of Equations
The larger of...
Question
The larger of two supplementary angles exceeds the smaller by
24
degrees. Then the angles are:
A
112
o
,
88
o
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B
102
o
,
78
o
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C
92
o
,
68
o
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D
122
o
,
98
o
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Solution
The correct option is
B
102
o
,
78
o
Let the two angles be
x
∘
and
y
∘
,
x
>
y
According to the question,
⇒
x
+
y
=
180
....(1)
⇒
x
=
y
+
24
.....(2)
Put the value of
x
in equation (1), we get
⇒
y
+
(
y
+
24
)
=
180
⇒
2
y
=
156
⇒
y
=
78
Putting this value of
y
in equation (2), we get
x
=
78
+
24
⇒
x
=
102
Therefore, the angles are
102
∘
,
78
∘
.
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Q.
Write the linear equations in two variables for the given information :
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Q.
Form the pair of linear equations for the following problem and find their solution by substitution method.
The larger of two supplementary angles exceeds the smaller by
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