# 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.

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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