Step-by-step explanation:
step 1. x + 51 + 39 + 127 = 360 (1 revolution is 360°)
step 2. x + 90 + 127 = 360
step 3. x + 127 = 270. (subtract 90 on both sides)
step 4. x = 143° (subtract 127 on both sides)
I got it as 4 when calculating all have the same number which is 133
100
100
100
100
3
2
5
3
3
3
I think this is what you're asking.. If not.. I'm sorry.
If these four line segments are connected (kind of like a square) then only 4 endpoints are needed, but if they are all separate line segments, then you would need a maximum of 8 endpoints because any line segment has 2 endpoints and 4 line segments with 2 endpoints a piece equals 8 endpoints in total.
I hope this helped! :)