8th Maths 3.2

NCERT Class 8th solution of Exercise 3.1

NCERT Class 8th solution of Exercise 3.3

NCERT Class 8th solution of Exercise 3.4

Exercise 3.2

Q1. Find the following figures.
manysolution12.blogspot.com
a)
Sol.
We know that
Sum of the external angles of a polygon is 360.
x +125+125=360
x=360-250
x=110
Answer:
x=110.
b)
Sol.
We know that
Sum of the external angles of a polygon is 360.
x +90+60+90+70=360
x=360-310
x=50
Answer:
x=50


Q2. Find the measure of each exterior angle of a regular polygon of
i) 9 sides
Sol.
exterior angle=Total of all exterior anglesTotal no. of sides
=3609
=40
Answer:
40.
ii) 15 sides
Sol.
exterior angle=Total of all exterior anglesTotal no. of sides
=36015
=24
Answer:
24.
Q3. How many sides does a regular polygon have if the measure of an exterior angle is 24?
Sol.
No. of sides=(Total of all exterior angles)a exterior angle
=36024
=15
Answer:
15.
Q4. How many sides does a regular polygon have if each of its interior angles is 165?
Sol.
measure of a interior angle =(n-2)180n
where n = no of sides
165=(n-2)180n 
165n=180n-360
180n-165=360
15n=360
n=36015
n=24
Answer:
Number of sides 24.
Q5. 
a) Is it possible to have a regular polygon with measure of each exterior angle as 22?
Answer:
No, because 22 is not a divisor of 360.
b) Can it be an interior angle of a regular polygon? Why?
Answer:
No, because each exterior angle is 180-22
=158which is not a divisor of 360.
Q6. 
a) What is the minimum interior angle possible for a regular polygon? Why?
Answer:
The equilateral triangle being a regular polygon
of 3 sides has the least measure of an interior 
angle =60.
b) What is the maximum exterior angle possible for a regular polygon?
Answer:
By (a), we can see that the greatest exterior
angle is 120.

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