ANSWER
[tex]x = 75.5 \degree[/tex]
EXPLANATION
Lines WO and WX are tangents to the circle.
The angle subtended at the center, Z by minor arc XO is the angle subtended at the circumcenter by the same arc.
Therefore the central angle is 2x°.
The two radii ZX and ZO meets the tangents at right angles.
This implies that:
[tex]2x + 90 + 90 + 29 = 360 \degree[/tex]
Or
[tex]2x + 29 = 180 \degree[/tex]
[tex]2x = 180 - 29[/tex]
[tex]2x = 151[/tex]
Divide both sides by 2
[tex]x = \frac{151}{2} = 75.5[/tex]
