Answer:
x=12
Step-by-step explanation:
The Angles Outside the Circle Theorem states that angle (9x-4) is equal to half of the outer angle (284 which is found from subtracting 76 from 360, a whole circle) by the inner angle (76).
1. 9x-4 = 1/2 * (284-76)
2. 9x-4 = 1/2 * (208)
3. 9x-4 = 104
4. 9x = 108
5. x = 12