In the diagram, the angles provided are part of intersecting lines. When lines intersect, they form vertically opposite angles and adjacent angles that sum up to 90° (when there's a right angle) or 180° in certain cases.

Here’s how to solve for $h$:

1. The total of all angles around the point where the lines meet is 360°, as the angles form a full circle.
2. The red right angle shown indicates a 90° angle.
3. The angles adjacent to $h$ are 35° and 55°.

Since the right angle sums to 90° with its adjacent angles, we know: $h + 55^\circ + 35^\circ = 90^\circ$ $h + 90^\circ = 90^\circ$

Thus, solving for $h$: $h = 0^\circ$

This solution seems consistent with the placement of the right angle symbol, suggesting no additional angle for $h$. However, let me know if you have any other questions or need further clarification!

Do you have any additional questions or would like a more detailed explanation? Here are some related questions:

1. What are vertically opposite angles?
2. How do complementary angles relate to a 90° angle?
3. How can you use angle sums in different polygons?
4. What are alternate interior angles in parallel line diagrams?
5. What is the difference between adjacent and supplementary angles?

Tip: Always remember that the sum of angles on a straight line is 180°, and the sum of angles around a point is 360°.