 Hello and welcome to the session. In this session we will discuss a question which says that first part, a rotation of 160 degrees counter clockwise is seen as entertaining the image by what angle in clockwise direction. And second part is, in the given figure M dash M dash is a reflection of triangle M M N and you have to find what is the line of reflection. Now let us start with the solution of the given question. Now in the first part we are asked, then if we retain a figure by 160 degrees in counter clockwise direction then it is equally rotating the image by what angle in clockwise direction. Now let us put alphabet P and let all be the point about which we have rotated this alphabet in counter clockwise direction by 160 degrees angle. So the image of this blue P is this red P that is this red figure. Now if we rotate this blue P in clockwise direction we will have to rotate it in this way so that it reaches the position of red P plus we have rotated it by x degrees in clockwise direction. So let x degrees be angle of rotation in clockwise direction. Thus we have 160 degrees plus x degrees is equal to 360 degrees that is the total angle of full rotation. So this implies x degrees is equal to 360 degrees minus 160 degrees which is equal to 200 degrees. Thus a rotation of 160 degrees counter clockwise is seen as rotation of 300 degrees in clockwise direction. Now let us start with second part. Now here we are given two triangles such as triangle L dash, M dash, M dash is reflective image of triangle L and M and here we have to find line of reflection. Now by definition of line of reflection we know that the previous image point and the corresponding image point are equally distant from the line of reflection that is line of reflection is midpoint of the line segment joining the pre-image and image points. Also line segment joining the corresponding image and pre-image points will be perpendicular to the line of reflection. So to find the line of reflection we first join the pre-image points with their corresponding image points. So here let us join L to L dash, M to M dash, M to M dash. Now by joining these points we have line segments L L dash, M M dash and M M dash. Now here you can see M M dash is two units that is the distance M M dash is two units because here each square represents one unit so represent two units thus the length distance of line segment M M dash is equal to one unit so M M M dash that is the points M M M dash should be at a distance of one unit from the line of reflection. So we place a point at width distance of the two points similarly distance M M dash is 1, 2, 3, 4 and 8 units so width distance of line segment M M dash is equal to 4 units thus M M M dash that is the points M M M dash is of 4 units from the line of reflection so we place a point at width distance of the two points now we join the two points and we see it is a horizontal line passing through y-axis at the point 0, 1 now let us extend this line in both the directions so this line touch the y-axis at the point 0, 1 thus equation of the line of reflection is y is equal to 1 now see the line M dash now distance L L dash is equal to 4 units its width distance is equal to 2 units we can see that both L and M dash from the line y is equal to 1 so this is the solution of the given question that's all for this session hope you all had enjoyed the session