Answer:
x = 34
x + 5 = 39
4x + 5 = 141
5x + 10 = 180
Explanation:
Because the angles cover a full rotation, we can assume that their sum equals 360.
x + 5 + 4x + 5 + 5x + 10 = 360
Combining like terms:
10x + 20 = 360
10x = 340
x = 34
For the other angles, we just have to substitute:
x + 5 = 39
4x + 5 = 141
5x + 10 = 180
We can confirm this by adding them all up:
39 + 141 + 180 = 360