In the given figure, AB is parallel to CD. Angle ABE = 65 degrees and angle BED = 105 degrees. What is the value (in degrees) of angle CDE?
Show answer & explanation
Correct answer: C
Explanation
Given:
AB ∥ CD
∠ABE = 65°
∠BED = 105°
Alternate interior angles formed by parallel lines are equal.
AB ∥ CD ⇒ ∠BEF = ∠ABE = 65°
∠BED = 105° ⇒ ∠FED = 105° − 65° = 40°
EF ∥ CD ⇒ ∠CDE = ∠FED = 40°