The image depicts two quadrilaterals, one solid and one dashed, where the dashed figure is the image of the solid figure, possibly after a transformation (such as translation, reflection, rotation, etc.). The task is to identify the image of angle $\angle D$ from the solid figure.

To do this, we can use the corresponding points in the two figures. Here are the points:

• The solid figure has points $D, E, F, C$.
• The dashed figure has points $R, S, T, Q$.

The problem asks for the image of $\angle D$, which corresponds to $\angle R$ in the dashed figure because $D$ and $R$ occupy the same relative position in their respective quadrilaterals.

Thus, the correct answer is:

$\angle R$, option b.

Would you like any further details or clarifications?

Here are 5 related questions to expand this:

1. How can we determine the corresponding points between two figures after a transformation?
2. What types of transformations preserve the angles between corresponding figures?
3. How do you identify the image of a figure after a reflection versus a rotation?
4. What properties of quadrilaterals remain unchanged after transformations?
5. Can the orientation of figures change depending on the type of transformation applied?

Tip: When identifying corresponding angles after a transformation, always look for the same relative positions in both the original and transformed figures.