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Byju's Answer
Standard IX
Mathematics
Angle Sum Property of a Quadrilateral
The angles of...
Question
The angles of a quadrilateral are in the ratio
2
:
4
:
5
:
7
. Find the angles.
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Solution
2
:
4
:
5
:
7
Let
x
be the common multiple.
2
x
+
4
x
+
5
x
+
7
x
=
360
Sum of angles in a quadrilateral is
360
0
18
x
=
360
x
=
20
∴
2
x
=
2
×
20
=
40
,
4
x
=
4
×
20
=
80
,
5
x
=
5
×
20
=
100
,
7
x
=
7
×
20
=
140
40
,
80
,
100
,
140
are angles of
quadrilateral.
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Angle Sum Property of a Quadrilateral
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