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Byju's Answer
Standard VIII
Mathematics
Construction of a Quadrilateral When Two Adjacent Sides and Three Angles Are Given
Construct the...
Question
Construct the following Quadrilateral of given measures.
In
Quadrilateral
MORE:
ℓ
(
M
O
)
=
5.8
c
m
,
ℓ
(
O
R
)
=
4.4
c
m
,
m
∠
M
=
58
o
,
m
∠
O
=
105
o
,
m
∠
R
=
90
o
?
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Solution
Steps of construction:
1)
Draw a line segment MO of 5.8 cm.
2)
Draw an angle of 58° from M and an angle of 105° from O with the help of protractor.
3)
Measure a distance of 4.4 cm and make an arc on 105° angle line,mark that point R.
4)
From R measure an angle of 90° extend the line till it reaches the line of 58° angle ,mark the point E where both lines intersect.
5)
Quadrilateral MORE is drawn.
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Similar questions
Q.
Construct a quadrilateral
M
O
R
E
where
M
O
=
6
c
m
,
O
R
=
4.5
c
m
,
∠
M
=
60
o
,
∠
O
=
105
o
and
∠
R
=
105
o
.
Q.
Quadrilateral
M
O
R
E
M
O
=
6
c
m
O
R
=
4.5
c
m
∠
M
=
60
o
∠
O
=
105
o
∠
R
=
105
o
Q.
Construct a quadrilateral
M
O
R
E
where
M
O
=
6
c
m
,
O
R
=
4.5
c
m
,
∠
M
=
60
o
,
∠
O
=
105
o
and
∠
R
=
105
o
Then, perimeter of
□
M
O
R
E
(in cm) is
Q.
Construct the following quadrilaterals of given measures.
(1) In ☐ MORE, l(MO) = 5.8 cm, l(OR) = 4.4 cm, m∠M = 58
°
, m∠O = 105
°
, m∠R = 90
°
.
(2) Construct ☐ DEFG such that l(DE) = 4.5 cm, l(EF) = 6.5 cm, l(DG) = 5.5 cm, l(DF) = 7.2 cm, l(EG) = 7.8 cm.
(3) In ☐ ABCD l(AB) = 6.4 cm, l(BC) = 4.8 cm, m∠A = 70
°
, m∠B = 50
°
, m∠C = 140
°
.
(4) Construct ☐ LMNO such that l(LM) = l(LO) = 6 cm, l(ON) = l(NM) = 4.5 cm, l(OM) = 7.5 cm.