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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Step 2: Use the property of the isosceles triangle . Since (given), is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are equal. Therefore, .
Step 3: Combine angle relationships. From Step 1, we have (tangent-chord theorem). From Step 2, we have . Combining these two equalities, we get . Thus, .
Step 4: Prove congruence using Angle-Angle-Side (AAS) criterion.
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Use the property of the isosceles triangle DBE. Since DB = BE (given), DBE is an isosceles triangle.
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.