Answer :

Given:

AB || EF

Construction.

Draw a line parallel to both AB and EF from the meeting point of their transverse

Theory:

If 2 lines are parallel then alternate interior angles are equal

As constructed line will divide ∠ y into 2 different parts

As the constructed line is parallel to AB

By interior alternate angles

⇒ The upper part of ∠ y = 125°

As the constructed line is parallel to EF

By interior alternate angles

⇒ The lower part of ∠ y = 141°

Combining both parts of ∠ y we get

⇒ ∠ y = 125° + 141° = 266°

As ∠ y and ∠ x make complete circle

∠ y + ∠ x = 360°

266° + ∠ x = 360°

⇒ ∠ x = 360° - 266° = 94°

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