Answer :

∠ PAQ + ∠QAB + ∠ PAB = 360° [Angle made on a point = 360°]

55° + ∠ QAB + 255° = 360°

∠ QAB = 360° - 310°

∠ QAB = 50°

Now from the figure,

**∠**QAB = **∠**ABR = 50°

Hence, AQ || BR as alternate interior angles are equal for two parallel lines.

And also **∠****RBS =** **∠** **PAQ = 55°**

Hence, PA||BS as alternate angles are equal for two parallel lines.

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