Class 8, Maths, Chapter 4, Exercise 4.3 Solutions
Q.1. Construct the following quadrilaterals.
(i) Quadrilateral MORE
MO = 6 cm
OR = 4.5 cm
∠M = 60°
∠O = 105°
∠R = 105°
Ans:
(ii) Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°
Ans: To make Quadrilateral PLAN, we need four angles
which are ∠P = 90°, ∠L = ? , ∠A = 110° and ∠N = 85°
we know that in quadrilateral,
∠P + ∠L + ∠A + ∠N = 360°
∠90° + ∠L + 110° + 85° = 360°
∠L = 360° – ∠90° – 110° – 85°
∠L = 75°
(iii) Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°
Ans: if ∠R = 85° then ∠H = 180°- 85° = 95°
opposite angles in parallelogram are equal. then
∠R = ∠E = 85°
∠H = ∠A = 95°
(iv) Rectangle OKAY
OK = 7 cm
KA = 5 cm
Ans:
