The angles of a quadrilateral are in the ratio 3:4:5:6. The largest of these angles is (a)90 degree, (b)120 degree, (c)150 degree, (d)102 degree. which is the largest of these angles?
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1
Answer:
a quadilateral the angles add up to
360
o
Let's call the angles
3
x
,
4
x
,
5
x
and
6
x
Then:
3
x
+
4
x
+
5
x
+
6
x
=
360
→
18
x
=
360
→
x
=
20
Then the angles are
60
o
,
80
o
,
100
o
and
120
o
(because
3
⋅
20
=
60
etc)
Check:
60
+
80
+
100
+
120
=
360
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