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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Here are the solutions for the missing angles:
1. Step 1: Angles on a straight line sum to . Step 2: Subtract from both sides to find . The missing angle is
2. Step 1: Angles on a straight line sum to . Step 2: Combine the known angles. Step 3: Subtract from both sides to find . The missing angle is
3. Step 1: Angles around a point sum to . Step 2: Combine the terms with . Step 3: Subtract from both sides. Step 4: Divide by 2 to find . The missing angle is
4. Step 1: Angles around a point sum to . Step 2: Combine the known angles. Step 3: Subtract from both sides to find . The missing angle is
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1. Step 1: Angles on a straight line sum to 180^.
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.