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
Step 1: Identify the relationship between the angles. The angles and are adjacent angles that lie on a straight line. Angles on a straight line form a linear pair and sum up to .
Step 2: Set up the equation.
Step 3: Solve for . Subtract from both sides of the equation.
The angle indicated by is .
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Identify the relationship between the angles. The angles x and 55^ are adjacent angles that lie on a straight line.
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.