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Toggle## 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:**