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**Mathsight Class 6 Solutions Chapter 12 Understanding Elementary Shapes**

Welcome to NCTB Solutions. Here with this post we are going to help 6th class students to solve MathSight Class 6 Mathematics Book, Chapter 12, Understanding Elementary Shapes. Here students can easily get all the exercise questions solution for Chapter 12, Understanding Elementary Shapes Exercise 12.1 and 12.2

**Understanding Elementary Shapes Exercise 12.1 Solution : **

**Question no – (1)**

**Solution :**

**(a)** Right angle = ∠AOC .

Acute angle = ∠BOA, ∠COA, ∠COB

Straight angle = ∠AOE

**(b)** Right angle = ∠DOE, ∠COE

Acute angle = ∠BOD

Straight angle = ∠AOB

**Question no – (2)**

**Solution :**

∠ACJ = 128° ∠ACH = 141° ∠ACE = 90°

∠ACF = 80° ∠ACD = 90° + 45° = 135° ∠DCB = 45°

**Question no – (3)**

**Solution :**

**(a)** ‘L’

**(b)** ‘N’

**(c)** ‘Y’

**Question no – (4)**

**Solution :**

**Question no – (5)**

**Solution **

**Question no – (6)**

**Solution :**

**Question no – (7)**

**Solution :**

**(a)** 27° = Acute angle

**(b)** 280° = Reflex angle

**(c)** 45° = Acute angle

**(d)** 190° = Reflex angle

**(e)** 360° = Complete angle

**(f)** 130° = Abuse angle

**Question no – (8)**

**Solution :**

Measurements of all of its angles are,

∠A = 70°

∠B = 120°

∠C = 60°

∠D = 110°

**Understanding Elementary Shapes Exercise 12.2 Solution : **

**Question no – (1)**

**Solution :**

**(a)** Scalene

**(b)** Scalene

**(c)** isosceles

**(d)** Equilateral

**(e)** isosceles

**(f)** Scalene

**Question no – (2)**

**Solution :**

**(a)** Right angle

**(b)** Right angle

**(c)** Acute

**(d)** Obtuse

**(e)** Right angle

**(f)** Obtuse

**Question no – (3)**

**Solution :**

∠OCD = 90° – 60° = 30°

∠BDC = 180° – (45° + 90°)

= 180° – 135

= 45°

**Question no – (4)**

**Solution :**

**(a)** Equilateral

**(b)** Scalene

**(c)** Isosceles

**(d)** Scalene

**(e)** Equilateral

**(f)** Isosceles

**Question no – (5)**

**Solution :**

∠a + ∠b = 180° – 120° = 60°

**∴** ∠a + ∠a = 60°

Or, 2 ∠a = 60°

Or, ∠a = 60°/2

= 30°

= ∠b

**Question no – (6)**

**Solution :**

**(a)** x = 90°

**(b)** 90° + 2x + x = 180°

Or, 3x = 180 – 90° = 90°

Or, x = 90°/3 = 30°

**∴** x = 30°

2x = 30 × 2

= 60°

**(c)** 90° + 40° + x = 180°

Or, 130° + x = 180°

Or, x = 180° – 130°

= 50°

**(d)** x + 69 + 49° = 180°

Or, x + 118° = 180°

Or, x + 180 – 118

= 62°

**Question no – (7)**

**Solution :**

Let, 3rd angle = x°

**∴** x = 180° – (45 + 20°)

= 180° – 70°

= 110°

**∴** it is Obtuse angle .

**Question no – (8)**

**Solution :**

∠A = 90° – 50° = 40°

**Question no – (9)**

**Solution :**

∠A + ∠B + ∠C = 180°

Or, 2∠B + ∠B + 3∠A = 180°

Or, 3∠B + 3.2 ∠B = 180°

Or, 3∠B + 6∠B = 180°

Or, 9 ∠B = 180°

Or, ∠B = 180°/9 = 20°

**∴** ∠B = 20°

∠A = 2 × 20° = 40°

∠C = 3 × 40 = 120°

**Previous Chapter Solution : **