 Hello and welcome to the session. Today I'll help you with this question. The question says, how many diagonals does the following have? A convex quadrilateral. Before proceeding on to the solution, let's get well versed with the fact that a diagonal is a line segment connecting two non-convegative vertices of a polygon. This will work as the key idea for this question. Now let's see the solution. Now consider this convex quadrilateral a, b, c, d. Now as you can see in this figure, we have joined the two non-convegative vertices a and c of this convex quadrilateral. So we have formed one line segment a, c. Similarly we can join b and d, the two non-convegative vertices of a, b, c, d. So after joining b and d, we get another line segment b, d. Thus we can say a, c and b, d are the line segments that join two non-convegative vertices a and c and b, d respectively. And we know the fact that a diagonal is a line segment connecting two non-convegative vertices of a polygon. So since we have got two line segments in this convex quadrilateral, so we can say there are two diagonals a, c and b, d in this convex quadrilateral a, b, c, d. Hence our final answer in this case is two. Hope you enjoyed the session. Have a good day.