 Hello and how are you all today? My name is Priyanka. The question to be discussed is construct the following angles and verify by measuring them by a protector. So the angle that we need to draw is of 75 degrees. Before writing down the steps of construction and doing the same for you just think that till now you have learned how to draw a 90 degree angle and a 60 degree angle too. Now if you divide the sum by 2 you will notice that you will obtain a 75 degree angle right. So what you need to do in this question is to draw a 60 degree angle and similarly draw a 90 degree angle also and then by set the angle that will be formed between them. It will be more clearer to you as I will be drawing it for you simultaneously. First of all we need to draw a ray OA. This is the ray that we need to draw. Now on this ray OA I need to first of all construct an angle of 60 degree that is explained to you previously also. So I will be making it very fast. So this is an angle of 60 degrees that I have drawn. Now I need to draw an angle of 90 degree also. Now with this arc I will draw another arc and with these two arcs I will draw two arcs and join this arc with the center. So this is a 90 degree angle that I have drawn. Now the angle which is forming between this 60 degree and this 90 degree will be the required 75 degree angle for us. So what we need to do is I need to bisect this angle. Let me name this point as B. The first point of intersection as D, C, E, P and now I need to draw OQ that will be the angle bisector of angle P, O, B. So what I did is I constructed angle A, O, B equals to 60 degree and then angle AOP equal to 90 degree. Now the fourth step is to bisect angle BOP so that angle BOR is half of this whole angle that will be half of angle AOP that is a 90 degree angle minus AOP that is a 60 degree angle. So by this bisector let me draw the bisector for you also. So this OQ is the bisector of angle PO, P and now this 60 degree plus this 15 degree will give you a total of 75 degrees right. So what I have over here is angle AOQ that is angle AOP or AOB that was a 60 degree angle plus angle BOQ that is equal to 75 degree. So angle AOB plus angle BOQ gives you a full 75 degree angle that is 60 degree plus 15 degree and by protector also we find angle AOQ equal to 75 degree. So this ends my session hope you enjoyed have a good day.