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Let us recall two basic rules of parallel lines.
Angles in the shape of a Z are called alternate angles and they are equal.
Co- interior angles add up to 180 degrees.
Here AB, BC and CD form a clear Z shape.
∠ABC= ∠BCD
⇒ 70° = x + y → (1)
Now, EF ║ CD.
Therefore, ∠FEC and ∠DCE are co- interior angles.
⇒ 150° + y = 180°
⇒ y = 30°
Therefore, substituting the value of 'y' in (1),
we get x = 70°- 30°= 40°
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