When two lines are parallel, and a transversal intersects them, several angles are formed that have specific relationships.
Let's assume that:
- Angle \( A \) (117°) is an interior angle formed by the transversal intersecting line \( x \).
- Angle \( C \) is an interior angle corresponding to \( A \) on line \( y \).
- Angle \( D \) might be an exterior angle, depending on its location relative to the parallel lines and the transversal.
Since lines \( x \) and \( y \) are parallel, angle \( C \) will be equal to angle \( A \) due to the Corresponding Angles Postulate. So:
\[ C = A = 117° \]
For angle \( D \), if it is an exterior angle on the same side of the transversal as \( A \), then \( D \) and \( A \) are supplementary (they add up to 180°). Thus:
\[ D = 180° - A = 180° - 117° = 63° \]
To summarize:
- \( C = 117° \)
- \( D = 63° \)
If the placement of angles is different, please provide more details as it can change the relationships.