Board | CBSE |

Textbook | NCERT |

Class | Class 8 |

Subject | Maths |

Chapter | Chapter 3 |

Chapter Name | Understanding Quadrilaterals |

Exercise | Ex 3.2 |

Number of Questions Solved | 6 |

Category | NCERT Solutions |

## NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.2

**Exercise 3.2 Class 8 Question 1.**

**Find x in the following figures.**

**Solution.**

**Exercise 3.2 Class 8 Question 2.**

Find the measure of each exterior angle of a regular polygon of

**(i)** 9 sides

**(ii)** 15 sides

**Solution.**

**(i)** 9 sides

Measure of each exterior angle=\(\frac { { 360 }^{ \circ } }{ 9 } ={ 40 }^{ \circ }\)

**(ii)** 15 slides

Measure of each exterior angle=\(\frac { { 360 }^{ \circ } }{ 15 } ={ 24 }^{ \circ }\)

**Exercise 3.2 Class 8 Question 3.**

How many sides does a regular polygon have if the measure of an exterior angle is 24°?

**Solution.**

Let the number of sides be n. Then, n(24°)=360°.

⇒ \(n=\frac { { 360 }^{ \circ } }{ 24 } =15\)

Hence, the number of sides is 15.

**Exercise 3.2 Class 8 Question 4.**

How many sides does a regular polygon have if each of its interior angles is 165°?

**Solution.**

∵ Each interior angle=165°

∴ Each exterior angle

= 180°-165°=15°

linear pair property

Let the number of sides be n. Then,

n(15°)=360°

\(n=\frac { { 360 }^{ \circ } }{ { 15 }^{ \circ } } =24\)

Hence, the number of sides is 24.

**Exercise 3.2 Class 8 Question 5.**

**(a)** Is it possible to have a regular polygon with a measure of each exterior angle at 22°?

**(b)** Can it be an interior angle of a regular polygon? Why?

**Solution.**

**(a)** No ; (since 22 is not a factor of 360).

**(b)** No ; (because each exterior angle is 180° – 22° = 158°, which is not a factor of 360°).

**Exercise 3.2 Class 8 Question 6.**

**(a)** What is the minimum interior angle possible for a regular polygon? Why?

**(b)** What is the maximum exterior angle possible for a regular polygon?

**Solution.**

**(a)** The equilateral triangle is a regular polygon of 3 sides has the minimum measure of an interior angle = 60°.

**(b)** By (a), we can see that the maximum exterior angle possible for a regular polygon is 180° – 60° = 120°.

We hope the NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.2 help you. If you have any queries regarding NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.2, drop a comment below and we will get back to you at the earliest.