To determine the measure of the angle \( x \) formed by the parallel lines cut by the transversals, we will need to use the properties of angles formed by parallel lines and transversals.
Since the lines are parallel and the transversals are perpendicular to each other, we can use the following relationship:
- Corresponding Angles: Angles located in the same position at each intersection created by a transversal with the parallel lines.
- Alternate Interior Angles: Angles located inside the parallel lines and on opposite sides of the transversal. These angles are equal.
- Same-Side Interior Angles: Angles that are on the same side of the transversal and inside the parallel lines are supplementary (add up to 180 degrees).
Without a specific diagram or numerical measurements for the angles, we can conclude that if one of the angles formed by the intersection of the transversals or the parallel lines is given, we can deduce the measure of the other angles based on the properties mentioned.
For example, if one angle is known to be \( 30^\circ \), the corresponding angle would also be \( 30^\circ \), alternate interior angles would also be \( 30^\circ \), and same-side interior angles would sum to \( 180^\circ - 30^\circ = 150^\circ \).
If you provide specific angles or a diagram, I can help calculate the height of angle \( x \) more precisely.