In the given figure, AB is parallel to CD. Angle ABE = 64 degrees and angle CDE = 32 degrees. What is the value (in degrees) of angle BED?
Show answer & explanation
Correct answer: A
Explanation
Given:
AB ∥ CD, ∠ABE = 64°, ∠CDE = 32°
Formulae:
Interior angles of parallel lines
Sum of angles in a triangle = 180°
∠EBC = 180° − 64° = 116°
∠EDC = 180° − 32° = 148°
∠BED = 360° − (116° + 148°)
= 360° − 264°
= 96°