 Hello and welcome to the session. In this session we discussed the following question it says draw a circle of radius 4 centimeters draw a tangent to the circle making an angle of 60 degrees with a line passing through the center. So here we have to draw a tangent to a circle of radius 4 centimeters such that that tangent makes an angle of 60 degrees with a line passing through the center. So let's see how we can do this construction. So first of all we'll draw a rough sketch of the figure to be drawn. So this is the figure where we have a circle with center o, cd is the tangent to the circle, ab is the line passing through the center of the circle. Now cd makes an angle of 60 degrees with the line passing through the center of the circle. So now when we join od we get this angle to be of measure 90 degrees since we know that the tangent at any point of a circle is perpendicular to the line joining the center to the point of contact. So when we consider the triangle cod in this we have angle cod plus angle odc plus angle dco is equal to value 80 degrees. Now angle cod plus 90 degrees since angle odc is of measure 90 degrees plus angle dco which is a measure 60 degrees is equal to 180 degrees. So this gives us angle cod is of measure 30 degrees. So now we can easily do the construction. We'll do the construction step by step. So our first step would be draw a circle with center o and radius 4 centimeters. So this is the circle with center o and it has radius 4 centimeters. Finally next step draw a radius ob and produce it to x. So we have to produce this radius ob to x that is ob is the radius so it is of measure 4 centimeters. Mind the rough figure as we had found out angle cod equal to 30 degrees. So now our next step would be make angle bod equal to 30 degrees. So we have made the angle bod equal to 30 degrees. Now in the next step we have to draw dc perpendicular to od meeting o x at c. So we have drawn this dc perpendicular to od. Now when this angle is 90 degrees that is angle odc is 90 degrees angle doc is 30 degrees. So obviously this angle that is angle dco is of measure 60 degrees. So this dc is the tension which is making an angle of 60 degrees with the line passing through the center o. As we get dc is the required tangent making an angle of 60 degrees with the line passing through the center. So this completes our session. Hope you have understood the solution of this question.