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NCERT Exemplar Solutions Class 6 Mathematics Solutions for Exercise in Chapter 1 - Number System
Question 1 Exercise
In questions 39 to 98 state whether the given statements are true (T) or false (F).
Successor of a one-digit number is always a one-digit number.
Answer:
False.
The successor of a whole number is the number obtained by adding 1 to it.
Example: - consider the number 9 it is a one digit, then its successor = 9 + 1 = 10.
Video transcript
"hello student
welcome back on a little doubt solution
and in today's session we are going to
solve one of the questions
related to geometry right
so in this question we need to draw an
angle of 80 degree
with the help of a protector and then we
need to construct the angles right we
need to construct
angle of 40 degree angle of 160 degree
and angle of 120 degree
all right so let's solve this question
so to solve this question what we will
do first
we will draw one
okay line okay this is the array of the
line
okay all right i will specify the two
points here
okay this will be my okay vertex so i
will
give the name that is four okay and
for the okay ray
i will specify another point suppose
this is point
okay so basically this is red oh
so we have drawn the way right
now by using the protector
we just simply draw an 80 degree angle
right
so i will use the protector and i will
quickly draw an angle
okay so i will get somewhere here this
is my 80 degree angle
so i will specify one point here
right and then i will
draw an line right
i will just join that point and
okay with the vertex
so
i have just drawn it okay i got another
ray right
let's suppose okay this another way is
ob all right so this another
way is ob i will specify the point here
right
okay so basically i got one
angle here right okay so angle at o will
be the
one in okay it is 80 degree just now we
have drawn it
all right okay now in the question
number first
what we need to do we need to draw an
angle of 40 degree right
so to draw this what we will do as we
know
that the angle
the angle we have okay angle
at oh that means angle abc or angle b
o c is equals to 80 degree right
okay so basically if you bisect this
angle
you will get a 40 degree angle right so
let's quickly bisect it
okay to bisect this okay we need a
compass
okay i will take the composition
okay then i will okay put the pointer
on a vertex of the angle right i will
take some distance right okay some
random distance
and with that with that random distance
i will draw
okay one arc which will intersect
ray o a and ob right so here is an
r so basically now we got
two intersection point here right okay
one okay i will just quickly draw this
okay one is the line segment
okay op here and
another one is okay okay here right
all right now okay what i will do
i will again take a compass
okay i will takes sufficient distance
some random distance right
and i will put the pointer okay in a
point
p and
what i will do i will draw an arc here
okay now without changing the distance
what i will do i will
okay put the pointer okay on a point q
and again i will draw one r here so that
i will get the point of intersection
all right okay
so this new point of intersection
okay suppose i will uh give this name
that is okay this is a point
x all right now
i will join ox right i will draw
another way so basically by joining this
okay i will create an angle right
that is angle xoa and
angle xoa is equals to 40 degree because
angle is a bisector of
angle b okay right so here
angle x
o a is equals to 40 degree
right okay so we got
first angle that is 40 degree now what
we will do
we will draw okay 160
degree angle right so as we know that
the angle
or at oh that is angle poc is equals to
80 degree right so what we need to do we
need to draw a
double angle right if we add 80 degree
to angle boc
we will get the new angle that is 160
degree right
so what we will do is by using the
protector we will quickly draw this
okay i will put the pointer here right
okay basically b o c b o a
is a 80 degree angle right and we need
another 80 degree
right i will quickly mark the point here
and okay 80 plus 80 that
is 160 right so at 160 here
okay i will mark the point
right and i will joint it
okay i will join that point
so okay i have
okay i will just join it right so
i will get the new angle right and this
new angle will be the
okay 180 160 degree angle right
okay suppose this point is y right
so i will get the new angle that is
angle y o a is equals to
160 degree all right
so here is angle y
o a is equals to
160 degree
all right now again what i need to do i
need to draw
okay 120 degree angle right so basically
if i
bisect the angle y o b
right again i will get the angle 40
degree right because
the this angle is also okay this angle
is also
angle y o op this angle is
80 degree so by bisecting it okay i will
get the angle 40 degree right
so i will quickly bisect that angle so
to bisect it
i need a compass right
okay i will take some distance some
random distance
right and
okay i will
okay i will put the pointer on point o
right and
okay i will draw a two or here so that
we will get a two intersection point
okay i will draw
okay i will draw one edge
i will draw here okay on ob right
in the similar way what i will do i will
draw
one more arc okay on
ray oh y right okay so here we got the
two interception point all right
okay suppose this point is uh
the first point is okay let us
okay take the point c and point
d right okay
now again what i will do i will take the
components
right i will take some distance okay
some random distance right and i will
put the pointer on point
c and i will draw
n r
okay now without changing the distance
okay i will put the pointer on point d
okay and again i will draw okay one more
arc here
okay just redraw it
okay so here we get the point of
intersection
okay suppose this point of intersection
is
e right so i get a new point that is
e right now what i will do i will just
quickly
draw okay quickly join
the point e and okay
0.4 right so i will draw the okay
line here okay so basically
this new angle i got is 120 degree right
okay so my angle
okay that is no angle that is angle
e o a angle e
o a is equals to
120 degree right so in that manner
okay we can construct the angles
hope you understood how to construct the
different angles
if you have any doubt please leave the
comment below and please do subscribe to
this channel
thanks for watching bye"
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