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Standard VI
Mathematics
Question
Four angles of a quadrilateral are in the ratio
3
:
5
:
7
:
9
. The greatest angle is _________.
75
o
135
o
125
o
120
o
A
125
o
B
75
o
C
135
o
D
120
o
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Solution
Verified by Toppr
Let the angles of quadrilateral be
x
,
y
,
z
,
w
.
Given ,
x
:
y
:
z
:
w
=
3
:
5
:
7
:
9
x
=
3
k
y
=
5
k
z
=
7
k
w
=
9
k
we k.n.t sum of angles of a quadrilateral is
360
∘
x
+
y
+
z
+
w
=
3
k
+
5
k
+
7
k
+
9
k
=
360
∘
⇒
24
k
=
360
∘
⇒
k
=
360
∘
24
=
15
∘
Greatest angle is
w
=
9
k
=
9
(
15
∘
)
=
135
∘
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