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Byju's Answer
Standard IX
Mathematics
Quadrilaterals
Angles of a q...
Question
Angles of a quadrilateral are in the ratio
3
:
4
:
4
:
7
. Find all the angles of the quadrilateral.
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Solution
angles of a quadrilateral
3
:
4
:
4
:
7
sum of angles in a quadrilateral
=
360
∘
let the angles be
3
x
,
4
x
,
4
x
and
7
x
.
then, sum
360
3
x
+
4
x
+
4
x
+
7
x
=
360
18
x
=
360
x
=
20
3
x
=
60
,
4
x
=
80
,
7
x
=
140
∴
the angle of quadrilateral are
60
∘
,
80
∘
,
80
∘
and
140
∘
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