Question

in fig . find x
please help me with steps​

Answer 1

Answer: x=50°

Step-by-step explanation:

Draw a line XE parallel to AB. It is also given that AB II CD.

This ⇒ that CD II XE(as AB II XE and AB II CD).

This also ⇒ that ∠ECD = ∠CEA(alternate interior angles)

AB II XE ⇒ ∠EAB = ∠AEX.

∠EAB=50° ⇒∠AEX=50°

∠ECD=100°⇒∠XEC=100°

∠AEC=∠XEC-∠AEX

         =100°-50°

         =50°

∴The x=50°