Answer:
x = 12
arcYZ = 108degrees
Step-by-step explanation:
In geometery, angle in the same segment of a circle are equal. Hence;
m<A = ,<X
4x+6 = 5x - 6
4x - 5x = -6 - 6
-x = -12
x = 12
<A = 4x + 6
<A = 4(12) + 6
<A = 48 + 6
<A = 54 degrees
Since <A = 1/2 arcYZ
54 = 1/2 * arcYZ
arc YZ = 54 * 2
arcYZ = 108degrees
