Answer:
a) ∠XWY = 53°
b) ∠XZY = 106°
Explanation:
The relationship between the central angle and the arc length is that they're equal. So, if arc XY = 106° this means that ∠XZY = 106°.
The relationship between the central angle ∠XZY and the inscribed angle ∠XWY is that the inscribed angle is half the value of the central one.
So, ∠XWY= ∠XZY/2 = 106/2 = 53
Results:
∠XWY = 53°
∠XZY = 106°