In the given figure, AB is parallel to CD. Angle ABE = 80 degrees and angle BED = 125 degrees. What is the value (in degrees) of angle CDE?

Show answer & explanation
Correct answer: C
Explanation
Given:
AB ∥ CD
∠ABE = 80°
∠BED = 125°
Alternate interior angles formed by parallel lines are equal.
Sum of angles:
AB ∥ CD ⇒ ∠BEF = ∠ABE = 80°
∠BED = 125° ⇒ ∠FED = 125 − 80 = 45°
EF ∥ CD ⇒ ∠CDE = ∠FED = 45°