(i) Construct the quadrilateral MORE: MO = 6 cm, OR = 4.5 cm, ∠M = 60 , ∠O = 105 , ∠R = 105 (ii) Construct the quadrilateral PLAN: PL = 4 cm, LA = 6.5 cm, ∠P = 90 , ∠A = 110 , ∠N = 85 (iii) Construct the quadrilateral Parallelogram HEAR: HE = 5 cm, EA = 6 cm, ∠ R = 85 (iv) Construct the quadrilateral Rectangle OKAY: OK = 7 cm, KA = 5 cm

(i) Given MO = 6 cm, OR = 4.5 cm, ∠M=60°, ∠O=105°, ∠R=105°
To construct: A quadrilateral MORE
Steps of construction:
(a) Draw a line segment MO = 6 cm.
(b) Construct ∠R = 105° and taking radius 4.5 cm, draw an arc taking O as centre, which intersects at R.
(c) Also construct an angle 105° at R and produce the side RE.
(d) Construct another angle of 60° at point M and produce the side ME. Both sides ME and RE intersect at E.
It is the required quadrilateral MORE.

(ii) Given: PL = 4 cm, LA = 6.5 cm, ∠P = 90° , ∠A = 110° , ∠N = 85°
To construct: A quadrilateral PLAN.
To find: ∠L = 360°-(90°+85°+110°)= 360°-285° = 75
Steps of construction:
(a) Draw a line segment PL = 4 cm.
(b) Construct angle of 90° at P and produce the side PN.
(c) Construct angle of 75° at L and with L as centre, draw an arc of radius
6 cm, which intersects at A.
(d) Construct ∠A = 110° at A and produce the side AN which intersects
PN at N.
It is the required quadrilateral PLAN.

(iii) Given: HE = 5 cm, EA = 6 cm, ∠R = 85°
To construct: A parallelogram HEAR.
To find: ∠H = 180° -85° =95° [ ∵Sum of adjacent angle of ||ᵍᵐis 180 ]
Steps of construction:
(a) Draw a line segment HE = 5 cm.
(b) Construct ∠H = 95° and draw an arc of radius 6 cm with centre H. It intersects AR at R.
(c) Join RH.
(d) Draw ∠R = ∠E = 85° and draw an arc of radius 6 cm with E as a centre which intersects RA at A.
(e) Join RA It is the required parallelogram HEAR.

(iv) Given: OK = 7 cm, KA = 5 cm
To construct: A rectangle OKAY.
Steps of construction:
(a) Draw a line segment OK = 7 cm.
(b) Construct angle at both points O and K and produce these sides. 90
(c) Draw two arcs of radius 5 cm from points O and K respectively. These arcs intersect at Y and A.
(d) Join YA.
It is the required rectangle OKAY.

Class 8 Maths Chapter 4 Exercise 4.3 Solution in Video

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https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-4/