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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,
[Linear pair]
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
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