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

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 8 |

Subject | Maths |

Chapter | Chapter 3 |

Exercise | Class 8 Chapter 3 Understanding Quadrilaterals Exercise 3.2 |

Number of Questions Solved | 6 |

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

**NCERT TEXTBOOK EXERCISES**

**Question 1. Find x in the following figures.**

**Solution.**

**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= $\frac { { 360 }^{ \circ } }{ 15 } ={ 24 }^{ \circ }$

**Question 3. How many sides does a regular polygon have if the measure of an exterior angle is 24Â°?**

**Solution.**

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

$n=\frac { { 360 }^{ \circ } }{ 24 } =15$

Hence, the number of sides is 15.

**Question 4. How many sides does a regular polygon have if each of its interior angles is 165Â°?**

**Solution.**

âˆµ Each interior angle=165Â°

âˆ´ Each exterior angle

= 180Â°-165Â°=15Â°

linear pair property

Let the number of sides be n. Then,

n(15Â°)=360Â°

$n=\frac { { 360 }^{ \circ } }{ { 15 }^{ \circ } } =24$

Hence, the number of sides is 24.

**Question 5.**

**(a)** Is it possible to have a regular polygon with a measure of each exterior angle at 22Â°?**(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 180Â° â€“ 22Â° = 158Â°, which is not a factor of 360Â°).

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

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

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