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
180^\circ$$
Hello Wumbei! Let's find the value of .
The image shows two parallel lines intersected by two transversals. The arrows on the lines indicate that they are parallel. We will use the property of consecutive exterior angles.
Step 1: Analyze the angles on the left transversal. The angle (top-left exterior) and the angle (bottom-left exterior) are consecutive exterior angles. When two parallel lines are cut by a transversal, the sum of consecutive exterior angles on the same side of the transversal is . So, we can write the equation:
Step 2: Solve for using the left transversal.
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Hello Wumbei! Let's find the value of x. The image shows two parallel lines intersected by two transversals.
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.