In the figure, the value of the missing angle is 53 degrees
How to fine the missing angle
The missing angle is solved knowing that angle v = angle y. This is because they intercepts equal arc
With this knowledge we have the equation
6x - 7 = 10x - 47
-7 + 47 = 10x - 6x
4x = 10
x = 10
The missing angle
6x - 7
= 6 * 10 - 7
= 60 - 7
= 53