Answer:
∠y° = ∠69°
∠x = ∠69°
Step-by-step explanation:
1) The question relates to parallel line theorem
The given parameters are;
AB is parallel to CD
∠111° and ∠y° are consecutive interior angles
∠69° and ∠x° are alternate interior angles
When two parallel lines are crossed by a common transversal, the consecutive interior angles are supplementary (sum up to 180°), and the alternate interior angles are equal
Therefore, we have;
∠111° + ∠y° = 180°
∠y° = 180° - ∠111° = ∠69°
∠y° = ∠69°
2) For the alternate interior angles, ∠69° and ∠x°, we have;
Alternate angles are equal, therefore ∠x = ∠69°
