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**NCERT solutions for Class 8 Maths Understanding Quadrilaterals Download as PDF**

## NCERT Solutions for Class 8 Maths Understanding Quadrilaterals

**Class –VIII Mathematics (Ex. 3.2)**

**NCERT SOLUTION**

**1. Find **** in the following figures:**

**Ans. **(a) Here,

And

[Linear pair]

{tex}\because {/tex} Exterior angle

= Sum of opposite interior angles

{tex}\therefore {/tex}

(b) Sum of angles of a pentagon

=

=

=

By linear pairs of angles,

……….(i)

……….(ii)

……….(iii)

……….(iv)

……….(v)

Adding eq. (i), (ii), (iii), (iv) and (v),

NCERT Solutions for Class 8 Maths Exercise 3.2

**2. Find the measure of each exterior angle of a regular polygon of:**

**(a) 9 sides**

**(b) 15 sides**

**Ans. **(i) Sum of angles of a regular polygon =

=

Each interior angle =

Each exterior angle =

(ii) Sum of exterior angles of a regular polygon =

Each interior angle =

**3. How many sides does a regular polygon have, if the measure of an exterior angle is **

**Ans. **Let number of sides be

Sum of exterior angles of a regular polygon =

Number of sides =

Hence, the regular polygon has 15 sides.

NCERT Solutions for Class 8 Maths Exercise 3.2

**4. How many sides does a regular polygon have if each of its interior angles is **

**Ans. **Let number of sides be

Exterior angle =

Sum of exterior angles of a regular polygon =

Number of sides =

Hence, the regular polygon has 24 sides.

**5. (a) Is it possible to have a regular polygon with of each exterior angle as **

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

**Ans. **(a) No. (Since 22 is not a divisor of )

(b) No, (Because each exterior angle is which is not a divisor of )

NCERT Solutions for Class 8 Maths Exercise 3.2

**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?**

**Ans. **(a) The equilateral triangle being a regular polygon of 3 sides has the least measure of an

interior angle of {tex}{{60}^{\circ }}.{/tex}

{tex}\because {/tex} Sum of all the angles of a triangle

= {tex}180{}^\circ {/tex}

{tex}\therefore {/tex}

(b) By (a), we can observe that the greatest exterior angle is

.

## NCERT Solutions for Class 8 Maths Exercise 3.2

NCERT Solutions Class 8 Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 8 Mathematics includes text book solutions from Class 8 Maths Book . NCERT Solutions for CBSE Class 8 Maths have total 16 chapters. 8 Maths NCERT Solutions in PDF for free Download on our website. Ncert class 8 solutions PDF and Maths ncert class 8 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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