Why does convexity make any difference? Don't you have to end up where you started and facing the direction you started?
Let A=(0,0), B=(7,2), C=(3,4), D=(3,7) and E=(-1,5). Cameron walks the polygonal path ABCDEA, writing down the number of degrees turned at each corner. What is the sum of these five numbers? Notice that ABCDE in not a convex pentagon.
I got 491.(using a protractor) Could someone take a look at my attached work?
oops, on my last line of attached work i meant if angle c was convex
While sketching, I found the problem more complex than anticipated.
Code:| D | o | Y * | . β * | . * | o X | C * . | * α . | o | * B | * | * A o - - - - - - - - - - - - - |
When he walks from to , he is walking in the direction
To walk to , he turns through . . . not
Then he walks from to , in the direction
To walk to , he turns through
And so on . . .