Identify pairs of vertically opposite, supplementary, alternate, corresponding, and co-interior angles from the diagram.

Here are the pairs of angles based on the provided diagram:

1.1 Vertically opposite:
A pair of vertically opposite angles are $\angle G_1$ and $\angle G_3$.

$$\boxed{\text{Angle } G_1 \text{ and Angle } G_3}$$

1.2 Supplementary:
A pair of supplementary angles are $\angle G_1$ and $\angle G_2$ (they form a linear pair).

$$\boxed{\text{Angle } G_1 \text{ and Angle } G_2}$$

1.3 Alternate:
A pair of alternate interior angles are $\angle G_2$ and $\angle H_4$.

$$\boxed{\text{Angle } G_2 \text{ and Angle } H_4}$$

1.4 Corresponding:
A pair of corresponding angles are $\angle G_1$ and $\angle H_1$.

$$\boxed{\text{Angle } G_1 \text{ and Angle } H_1}$$

1.5 Co-interior:
A pair of co-interior angles are $\angle G_2$ and $\angle H_1$.

$$\boxed{\text{Angle } G_2 \text{ and Angle } H_1}$$