This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
by the Alternate Segment Theorem:
Here's how to find the values of and :
Step 1: Find the value of . The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment. This is the Alternate Segment Theorem. Here, is the tangent at , and is a chord. The angle is the angle between the tangent and the chord . The angle in the alternate segment subtended by chord is . Therefore, by the Alternate Segment Theorem:
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Here's how to find the values of x and y: Step 1: Find the value of y. The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.