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?

Correct option is A

Given:
AB is parallel to CD.
Angle ABE = 64°
Angle CDE = 32°
Formula Used:
When a line is drawn parallel to two parallel lines, alternate interior angles are equal.
Solution:
Draw an imaginary line passing through point E such that it is strictly parallel to both AB and CD.

This parallel line splits the angle BED into two alternate interior angles.
The upper part of angle BED is alternate and equal to angle ABE.
Upper angle part = 64
The lower part of angle BED is alternate and equal to angle CDE.
Lower angle part = 32
Add both parts to find the total measure of angle BED.
Angle BED = 64 + 32 = 96
Final Answer
So the correct answer is (a)