Question

in figure ab is parallel to CD and EF is parallel to BD if CDb is equal to 100degree find angle Aef​

Answer 1

Answer:

If extend EF to meet line CD, then the figure becomes a parallelogram. In a parallelogram, the opposite angles are always equal.

=> angle BEF = angle CDB = 100°.

In the line BA,

angle AEF + angle BEF = 180° (Angles on a line)

=> AEF + 100 = 180

=> angle AEF = 180 - 100 = 80°

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Answer 2

Answer:

If extend EF to meet line CD, then the figure becomes a parallelogram. In a parallelogram, the opposite angles are always equal.

=> angle BEF = angle CDB = 100°.

In the line BA,

angle AEF + angle BEF = 180° (Angles on a line)

=> AEF + 100 = 180

=> angle AEF = 180 - 100 = 80°