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
Here are the pairs of angles based on the provided diagram:
1.1 Vertically opposite: A pair of vertically opposite angles are and .
1.2 Supplementary: A pair of supplementary angles are and (they form a linear pair).
1.3 Alternate: A pair of alternate interior angles are and .
1.4 Corresponding: A pair of corresponding angles are and .
1.5 Co-interior: A pair of co-interior angles are and .
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1.1 Vertically opposite: A pair of vertically opposite angles are G_1 and G_3. Angle G_1 and Angle G_3 1.2 Supplementary: A pair of supplementary angles are G_1 and G_2 (they form a linear pair).
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.