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Byju's Answer
Standard VIII
Mathematics
3 Sides, 2 Diagonals
Construct a q...
Question
Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ∠A = 70°, ∠B = 110° and ∠D = 85°.
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Solution
We
know
that
the
sum
of
all
the
angles
in
a
quadrilateral
is
360
.
i
.
e
.
,
∠
A
+
∠
B
+
∠
C
+
∠
D
=
360
°
⇒
∠
C
=
95
°
Steps
of
construction
:
Step
I
:
Draw
BC
=
5
.
5
cm
.
Step
II
:
Construct
∠
XBC
=
110
°
at
A
and
∠
BCY
=
95
°
.
Step
III
:
With
C
as
the
centre
and
radius
4
.
1
cm
,
cut
off
CD
=
4
.
1
cm
.
Step
IV
:
At
D
,
draw
∠
CDZ
=
85
°
such
that
it
meets
BY
at
A
.
The
quadrilateral
so
obtained
is
the
required
quadrilateral
.
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Construct a cyclic quadrilateral ABCD when AB
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