( Multiple choice) In the game of miniature golf, the ball bounces off the wall at the same angle it hit the wall. (This is the angle formed by the path of the ball and the line perpendicular to the wall at the point of contact.) In the diagram, the ball hits the wall at a 40 degree angle. What are the values of x and y? A) x=50; y=40B) x=40; y=50C) x=50; y=50D) x=40; y=40

Answer:  The correct option is(C) x=50; y=50.Step-by-step explanation:  Given that in the game of miniature golf, the ball bounces off the wall at the same angle it hit the wall as shown in the figure.In the diagram, the ball hits the wall at a 40 degree angle.We are to find the values of x and y.From the figure, we note that[tex]x^\circ+40^\circ=90^\circ\\\\\Rightarrow x+40=90\\\\\Rightarrow x=50.[/tex]Since the ball bounces off the wall at the same angle it hit the wall, so we must have[tex]90^\circ-y^\circ=40^\circ\\\\\Rightarrow 90-y=40\\\\\Rightarrow y=90-40\\\\\Rightarrow y=50.[/tex]Thus, the required values of a and y are 50 and 50.Option (C) is CORRECT.