In the given figure, AB is parallel to CD. Angle BAE = 65 degrees and angle BEA = 55 degrees. What is the value (in degrees) of angle CDE?
Show answer & explanation
Correct answer: A
Explanation
Given:
AB ∥ CD, ∠BAE = 65°, ∠BEA = 55°
Formula:
The sum of the angles of a triangle = 180°
Alternate angles formed by parallel lines are equal
In triangle ABE:
∠ABE = 180° − (65° + 55°) = 60°
AB ∥ CD ⇒ ∠ABE = ∠CDE
∠CDE = 60°