This worksheet involves using geometric principles to determine the measures of various angles in a system involving parallel lines and transversals. Let’s break this down step by step.

Observations:

1. Parallel Lines and Transversals: There are parallel lines marked with arrows, intersected by transversals.
2. Key Angles Given: Some angles are labeled with specific values (e.g., $66^\circ$, $46^\circ$, $116^\circ$).
3. Corresponding Angles, Alternate Interior Angles, and Vertical Angles: These relationships will help solve for the remaining angles.

Would you like me to start solving this systematically or explain the relationships first?