The figures shown in the images seem to be similar polygons, which means they have corresponding angles and proportional sides. Let's break down the information:

From the first image:

• The left figure is a polygon with angles marked at several points (including 30° at vertex D).
• The lengths of the sides are also provided (for example, side AB = 182 and side DE = 104).

The task in the second image:

• We need to determine the measure of angle I and the length of side HI based on the similarity of the polygons.
• Since the figures are similar, the corresponding angles of the two polygons must be equal.
• We can also use the side lengths of the left figure to find proportional relationships to the right figure.

Let me summarize:

1. The measure of angle I (corresponding to angle D) is 30°, as the figures are similar.
2. The length of side HI can be determined using the ratio of corresponding side lengths between the two figures.

Would you like help with the exact steps to calculate the side length HI based on the given sides and the similarity?