 Hello and how are you all today? My name is Priyanka. The question says construct an angle of 45 degrees at the initial point of a given ray and justify the construction. So let us write down the steps of the construction and do the construction simultaneously. The first step is to draw a ray, let's say OA. To draw an angle of 45 degree what we need to do is first of all we need to construct an angle of 90 degree as we did in the first question. So the second point is with O as the center and any radius draw an arc intersecting OA at B. Now with B as the center and the same radius cut the previous arc at point C and then with C as the center and same radius cut an arc D also. So what we did is with B as center and same radius cut the previous arc drawn at C and then with C as the center and same radius cut the arc with C as the center and radius more than half of CD draw an arc with D as the center and same radius draw another arc to cut the previous arc like this more than half of CD draw an arc with C as the center and then with D as the center this point will be point E and then what we need to do is we need to join OE, let us join OE, mark this point and AOE is a 90 degree angle, we joined OE then angle AOE is equal to 90 degrees. Then since in this question we need to draw an angle of 45 degree what will we do is we will draw the bisector of this angle that will be OF of angle AOE then angle AOF will be equal to 45 degrees. So what we will be doing is we will be drawing an angle bisector of this angle AOE by taking V as the center and radius more than half of this arc or equal to this arc we will draw an arc like this. Then taking this point let it be point G, point G as the center draw with the same radius we will draw another arc then we will join let this point be F and we will be joining OF. Now this angle AOF this is the required 45 degrees angle and by construction we had angle AOE equals to 90 degree and we know that OF is the bisector angle AOE. So that concludes that angle AOF should be equal to half of angle AOE that is half of 90 degrees that is that implies that angle AOF should be equal to what exactly it should be equal to 45 degrees and this is what we have drawn over here. So this completes our required construction of 45 degrees hope you enjoyed this session take care write down the steps of construction neatly and have a good day.