Question

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Answer 1

Answer:

a) ∠XWY = 53°

b) ∠XZY = 106°

Step-by-step 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°