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
(\angle u,\ \angle p)\ and\ (\angle f,\ \angle m)
Step 1: Two lines intersect at the point, forming four angles labeled , , , and .
Step 2: Vertically opposite angles are the pairs directly opposite each other at the intersection.
From the diagram:
The left angle () is vertically opposite the right angle ().
The upper angle () is vertically opposite the lower angle ().
The two pairs of vertically opposite angles are and .
(\angle u,\ \angle p)\ \mathrm{and\ (\angle f,\ \angle m)}
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Two lines intersect at the point, forming four angles labeled u, f, p, and m. Step 2: Vertically opposite angles are the pairs directly opposite each other at the intersection.
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.